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(a) The sum of any two sides of a triangle is greater than the third side (b) A triangle can have all its angles acute (c) A right-angled triangle cannot be equilateral (d) Difference of any two sides of a triangle is greater than the third side 19. In Fig. 6.9, BC = CA and ∠A = 40. Then, ∠ACD is equal to (a) 40° (b) 80° (c) 120° (d) 60 ... The hypotenuse is the longest side of a right-angled triangle. Given that two of the sides of a right triangle are 10 cm and 10.5 cm. If hypotenuse = 10.5 cm, then the sides containing the right angle are 10 cm $\sqrt { ( 10.5 ) ^ { 2 } - 10 ^ { 2 } } = \sqrt { 10.25 } - 3.2$ and But the inradius of the triangle is given as 3 cm.

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The radius of a regular hexagon measures 10 cm. Find the area. A circle has area 4911. Find the exact circumference. An isosceles triangle has base 24 cm and the other two sides each measure 13 cm. Find its area. An equilateral triangle has sides that each measure 7 in. Find the length of an altitude. A rectangle has length 20 and diagonal 52. The side of an equilateral triangle is 16 cm . Find the length of its altitude. Solve with steps - 84011 yogitha yogitha 02.03.2015 Math Secondary School

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Since the equilateral triangle shares a side with the square, each of the five sides that are outlined have the same length. Recall that the height of an equilateral triangle splits the triangle into congruent triangles. We can then use the height to find the length of the side of the triangle. b. All equilateral triangles are also isosceles triangles since every equilateral triangle has at least two of its sides congruent. c. Some isosceles triangles can be equilateral if all three sides are congruent. A triangle with no two of its sides congruent is called a scalene triangle and is shown below. Classification of Triangles by Sides

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The hypotenuse is the longest side of a right-angled triangle. Given that two of the sides of a right triangle are 10 cm and 10.5 cm. If hypotenuse = 10.5 cm, then the sides containing the right angle are 10 cm $\sqrt { ( 10.5 ) ^ { 2 } - 10 ^ { 2 } } = \sqrt { 10.25 } - 3.2$ and But the inradius of the triangle is given as 3 cm. 2.- A rhombus has side of length 6 cm. One of its diagonals is 10 cm long. Find the length of the other diagonal. 3.- A square has diagonals of length 6 cm. Find the length of its sides. 4.- A rhombus has diagonals of length 8 cm and 10 cm. Find its perimeter. 5.- An equilateral triangle has sides of length 12 cm. Find the length of one of its ...

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Construct an equilateral triangle if its altitude is BROTHERS PRAKASHAN 4 cm. Give justification of your construction. 2. Construct a triangle ABC in which ∠A = 45°, ∠B = 120° and AB + BC + AC = 10.4 cm. 3. Construct a right triangle in which one side is 3.5 cm and sum of other side and hypotenuse is 5.5 cm. 8.

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Find the length of the altitude of an equilateral triangle of side 3√3 cm. Solution : Side length of equilateral triangle (a) = 3√3. Area of equilateral triangle = (√3/4) a² = (√3/4) (3√3)² = (√3/4) (27) Area of equilateral triangle = 27√3 / 4 ---(1) Here we should find the length of altitude, so we use the formula base ...

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In an equilateral triangle of side length 20cm, a circle is inscribed touching all its sides. Find the area 3 between their centres is 6cm. Find the radii of the circles. ABC is a right triangle , right angled at A. Find the area of the non-shaded region if AB= 6cm, BC= 10cm and O is centre of the incircle of AABC. ( 3.14) ( ans . 11.44cm2) May 14, 2008 · The 30-60 -90 triangle formed with radius 10 as the hypotenuse and half the base of the triangle as the side opposite 60º, give a base of 2x5sqrt3 = 10 sqrt 3. Side opposite 30º is 5 and the altitude is 10+5=15. Area of equilateral triangle = 10 sqrt 3 x 15/2 = 75 sqrt3 cm^2

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For an obtuse triangle, the altitude is shown in the triangle below. Altitude of an Equilateral Triangle. The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side. It is interesting to note that the altitude of an equilateral triangle bisects its base and the opposite angle. "Find the length of the side RT in the triangle above. ... 9."Two right-angled triangles are shown below. "PQ is 10cm. ... Calculate the area of the equilateral triangle.

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Q.34 In the adjoining figure , determine the length of the altitude AD of an isosceles triangle ABC of sides 2a , 2a, a. Q.35 In the adjoining figure, AD is the bisector of angle BAC. If AB= 10cm , AC = 6cm and BC = 12cm, find BD and DC

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30-60-90 Triangles are classified as "special right triangles". They are special because of special relationships among the triangle legs that allow one to easily arrive at the length of the sides with exact answers instead of decimal approximations when using trig functions. Sep 09, 2009 · basic formula for the sides of a right triangle is a^2 + b^2 = c^2. we know that a = 10. we also know that c = 2b because the triangle is equilateral. 100 + b^2 = 4b^2. 100 = 3 b^2. b^2 = 100 / 3. so b = the square root of 100 / 3. the perimeter will be 6b. also . 30º-60º-90º Triangles

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Mar 18, 2013 · So if you have the length of the sides of the equilateral triangle, you have (length)^2 + [(1/2)*length]^2 = height. Side 2 will be 1/2 the usual length, because it will be the side of one of the right triangles that you create when you cut the equilateral triangle in half. I hope this helps. Since this is an equilateral triangle and we know its perimeter is 18, we can figure out that each side has a length of 6. (18 / 3 = 6). It does not matter which base we choose, since all 3 heights (or altitudes) in an equilateral triangle are congruent.

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5. Find the area of a parallelogram whose base and corresponding altitude are respectively 20 cm and 12 cm. 6. Area of a triangle is 280 cm 2. If base of the triangle is 70 cm, find its corresponding altitude. 7. Find the area of a trapezium, the distance between whose parallel sides of lengths 26 cm and 12 cm is 10 cm. 8. Dec 02, 2020 · Break the equilateral triangle in half, and assign values to variables a, b, and c. The hypotenuse c will be equal to the original side length. Side a will be equal to 1/2 the side length, and side b is the height of the triangle that we need to solve. Using our example equilateral triangle with sides of 8, c = 8 and a = 4.

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Solved Example. Question: Find the area, altitude, perimeter and semi-perimeter of an equilateral triangle whose side is 8 cm. Solution: Side of an equilateral triangle = a = 8 cm May 18, 2009 · The altitude of an equilateral triangle will bisect the base giving us two equal right triangles to work with. The altitude is going to be the length of on side, 20m the length of the other side, and 40m the length of the hypotenuse. a² + 20² = 40². a² + 400 = 1600. a² = 1200. a = sqr(1200) = sqr(400 * 3) = 20sqr(3) The answer is b.

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Nov 30, 2009 · Any equilateral can be split into 2 30-60-90 triangles. One of thir sides is the altitude, the other is a side, and the last is half a side. So, using the pythagorean theorem, altitude^2 + (s/2)^2 = s^2 altitude^2 = s^2 - s^2/4 = 3s^2/4 altitude = s*sqrt(3)/2

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Find the area of an equilateral triangle with a side of 6 inches. 9√3 in2 Two polygons are similar with the longest side of one 8 and the longest side of the other 10. The hypothesis of the theorem is that AB = AC. Also, AC = AB (!) and angle BAC = angle CAB (same angle). Thus triangle BAC is congruent to triangle BAC by SAS. The corresponding angles and sides are equal, so the base angle ABC = angle ACB. Let M be the midpoint of BC. By definition of midpoint, MB = MC.