Question

Area of equilateral triangle with side 10cm

Answer 1

●hy user ●



Here's ur answer 》》》》



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

Hope it helps ✌☺⚡