Question

Find the value of x. Give your answer in simplest radical form.

Answer 1

Both right triangles share the same leg we'll call "b". Pythagorean theorem
a² + b² = h²

Smaller triangle .
3² + b² = (√34)²
b² = 34 - 9
b² = 25
b = 5

Larger triangle.
x² + 5² = 11²
x² + 25 = 121
x² = 121 - 25
x² = 96
x = √(96)

factor out any perfect squares from 96

x = √(16*6)
x = 4√(6)

Answer 2

Its 4*radical6
You need to find the 33=9+x^2
X=5
Then 25 +y^2=121
Y=4rqd6