Question

What is the value of x in the triangle?

Answer 1

A) 10
`√(2)`

Explanation:

this is an isosceles triangle because it has 2 equal sides

it is also a 45-45-90° triangle because the right angle measures 90° so the sum of the other two equal angles must be 90°; therefore each base angle measures 45°

the sides of a 45-45-90° triangle, respectively, have a ratio of 1 to
`√(2)`

so if the legs are 10 then 'x' must be 10
`√(2)`