Question

Could some one please answer this for me, thanks

Answer 1

x = 2

Explanation:

The triangle shown in the image is a right triangle.

1. The missing side, x, is the leg and its length is equal to other leg because this is also an isosceles triangle.
2. So this triangle is special 45°-45°-90° and the side lengths are represented with a-a-a√2 respectively.
3. The length of hypotenuse is equal to √8 so:

a√2 = √8

• Divide both sides by √2

a = √4

Remember we said a represents legs, in the image x represents the legs so the answer is:

x = √4 and √4 = 2, therefore the answer is 2.