Question

An isosceles triangle have base 12 cm and each of the equal sides equal to 10 cm. Find the length of the altitude of the triangle.

Answer 1

an isosceles triangle has two equal sides , the length of the base on each side is :
12/2=6
by pythagorean theorem

a square + b square =c square 

let height be a

a2 +b2=c2 { 2 is square}

a2=c2-b2

a*a=10*10-6*6
a2=100-36
a2=64
a=root of 64
a=8
base = 12cm and height= 8cm
a =b*h/2
a=12*8 /2
a= 96/2
a=48 cm square