Question

What is the value of x?

• 7
• 7√2
• 14
• 14√2

Answer 1

7

Explanation:

Look at the picture.

We have the triangle 45° - 45° - 90°. The sides are in ratio 1 : 1 : √2.

Therefore we have the equation:

`x\sqrt2=7\sqrt2\qquad\text{divide both sides by}\ \sqrt2\\\\x=7`