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Class 10 > Learn Mathematics > Find the area of an equilateral triangle with side...
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Find the area of an equilateral triangle with side 10 cm.

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side = 10cm formula for the area=root 3/4square of side =1.732/4*100 =43.3cm sq
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Using the formula area = root of (s(s-a)(s-b)(s-c)) We get area in this case = root of (15 x 5 x 5 x 5) = 5 x 5 x root 3 = 25 x 1.732 = 43.3 cm^2
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draw an equilateral triangle draw the height from the top vertex to the bottom horizontal side this line segment divides the triangle into two congruent right triangles this line segment also divides the bottom horizontal side into two congruent line segments, each 5 units in length the height is the...
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draw an equilateral triangle draw the height from the top vertex to the bottom horizontal side this line segment divides the triangle into two congruent right triangles this line segment also divides the bottom horizontal side into two congruent line segments, each 5 units in length the height is the longer leg of the right triangles taking one right triangle... the hypotenuse is 10 and the shorter leg is 5 using the Pythagorean Theorem 102=h2+52 100=h2+25 100-25=h2 75=h2 h=?75=?25*3=5?3 A=(1/2)(10)(5?3) A=(5)(5?3) A=25?3 A=25*1.732 A=43.3 square units read less
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(1.732*10*10)/4.
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Area of equlateral triangle = √3\4 (side)^2 \4=25√3
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