Question

i need help with this question asap pleaseeeeee

Answer 1

Answer:

y = 3$\sqrt{7}$

Step-by-step explanation:

The two inner right triangles are similar, thus the ratios of corresponding sides are equal, that is

$\frac{y}{9}$ = $\frac{7}{y}$ ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = $\sqrt{63}$ = $\sqrt{9(7)}$ = $\sqrt{9}$ × $\sqrt{7}$ = 3$\sqrt{7}$

Answer 2

You can use the pythagorian theorem here:
The corner on the top side is 90 degrees too. So that means (9+7)^2 = A^2 + B^2. The two triangles against each other are the same, but bigger. That means that the left side is 9/16 out of the whole and the right side is 7/16 out of the whole So back to the pythagorean theorem (9+7)^2 = 256. Multiply that number by one of the two numbers before. I will take 9/16, the left side. 256x9/16 = 144. Take the square root of that, 12, and then you have the length of that side. Then use pythagorean theorem again. C^2 = 9^2 + 12^2
C^2 = 225.
C= 15
Seen as C stands for y, there is your answer