Question

An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of `12` and the triangle has an area of `64`. What are the lengths of sides A and B?

Answer 1

`abs(A)=abs(B)~~12.24`

Explanation:

`1/2 xx 6 xx h = 1/2 xx "Area"`

`rArr h = 64/6`

and, by Pythagorean Theorem
`color(white)("XXX")abs(A)=abs(B)=sqrt((64/6)^2+6^2)`
`color(white)("XXXXXXXXX")~~12.24`