Answer:
x = 10
Step-by-step 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:
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
