Question

Given the following triangle, find c.

Shown: a right triangle XYZ, with Z being the right angle and XZ=15, YZ=9, and XY=c.

Answer options:
A. 18√17
B. 6√17
C. 3√34
D. 12

Answer 1

It would Be C. I hope this helps you

Answer 2

Option C is correct

value of c is,
`3√(34)` units

Explanation:

Using Pythagoras theorem;

`\text{Hypotenuse side}^2 = \text{Shorter side}^2+ \text{Longer side}^2` ....[1]

As per the statement:

A right triangle XYZ, with Z being the right angle and

XZ=15, YZ=9, and XY=c.

Using Pythagoras theorem in triangle XYZ :

Hypotenuse side = XY = c unit

Shorter side = YZ = 9 units

Longer side = XZ = 15 units

Substitute these in [1] we have;

`c^2 = 15^2+9^2`

⇒
`c^2 = 225+81= 306`

⇒
`c = √(306) =√(34 \cdot 9) = 3√(34)` units

Therefore, the value of c is,
`3√(34)` units