Question

Find the value of x in the isosceles triangle shown below.

Answer 1

x=4

Step-by-step explanation:

since it is an isosceles triangle, line x splits the base into 2 equal parts.

using a smaller triangle we know the sides are 5,3,x

now use Pythagorean theorem

`5=\sqrt{x^(2) +3^(2) }`

`x=\sqrt{5^(2)-3^(2) }`

x =
`√(16)`

x = 4, -4

since length cannot be negative, x = 4