Question

Find the value of xxx in the isosceles triangle shown below. Choose 1 answer:

Answer 1

Answer:

x=12

Step-by-step explanation:

The isosceles triangle consist of two right angle triangle of the same dimensions.

Let the unknown side of the right angle triangle=y

x=y+y

x=2y

Right angle triangle

c^2=a^2+b^2

c=10

a=8

b=y

c^2-a^2=b^2

10^2-8^2=y^2

100-64=y^2

36=y^2

y=√36

=6

y=6

Recall

x=2y

Substitute the value of y into the equation

x=2(6)

=12

Therefore,

x=12