Question

Find the value of x.

Answer 1

x = 10

Explanation:

Hello!
Let's call the top triangle A and the bottom one B

Recall that the leg opposite to 30° in a 30° - 60° - 90° triangle is always half the hypotenuse of that triangle

Now that we know that, we can find the hypotenuse of A:

• 5√2 * 2
• 10√2

The hypotenuse of A is 10√2

Recall that the hypotenuse in a right isosceles triangle is always the the length of one leg times √2

Since triangle A and B share the same hypotenuse, the hypotenuse of B is also 10√2

To find the measure of x:

• Hypotenuse = leg * √2
• 10√2 = x * √2
• 10 = x
• x = 10

x is 10

-Chetan K