Question

I just need help with this one question so I can use it as an example

Answer 1

The missing side lengths of the triangle are y = 12 in and x = 12.3 in.

The triangle in the image is a right triangle, and we are given the lengths of two sides and asked to find the lengths of the other two sides. We can use the Pythagorean theorem to solve for the missing side lengths.

* Finding the length of y:

* We know the length of the hypotenuse of the smaller right triangle (13 in) and the length of one leg (5 in).

* We can use the Pythagorean theorem to solve for the length of the other leg (y):

`* y^2 = 13^2 - 5^2`

`* y^2 = 144`

* y = √144

* y = 12 in (rounded to the nearest tenth)

* Finding the length of x:

* We know the length of the hypotenuse of the larger right triangle (16 in) and the length of one leg (12 in).

* We can use the Pythagorean theorem to solve for the length of the other leg (x):

`* x^2 = 16^2 - 12^2`

`* x^2 = 152`

* x = √152

* x ≈ 12.3 in (rounded to the nearest tenth)

Therefore, the missing side lengths of the triangle are y = 12 in and x = 12.3 in.