Question

A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle. Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall. 6.5 ft ft 13 ft ft

Answer 1

A wall is in the shape of a trapezoid and it can be divided into a rectangle and a triangle. A triangle is with angles 45°- 45° - 90°. The hypotenuse of that triangle is 13√2 ft.Using the 45° - 45° - 90° theorem, sides of that triangle are in the proportion:x : x : x√2, and since that x√2 = 13√2 ( hypotenuse ),  x = 13.Therefore h = 13 ft.We can check it: c² = 13² + 13²,c² = 169 + 169c² = 338c = √ 338 = 13√2Answer: h = 13 ft

Answer 2

The height of the wall h is equal to 13 feet.

Given

The wall can be divided into a rectangle and a triangle.

A straight line with length h, is drawn to the opposite side to form a right angle.

It splits the shape into a rectangle and a triangle.

The length of the hypotenuse is $\rm 13\sqrt{2}$ feet.

The other angles of the triangle are 45 degrees.

What is the 45°-45°-90° triangle theorem?

A triangle is with angles 45°- 45° - 90° states that sides of that triangle are in the proportion x : x : x√2.

Therefore,

On comparing with the ratio the height of the wall is;

$\rm h\sqrt{2} = 13\sqrt{2}\\\\h = 13 \ feet$

Hence, the height of the wall h is equal to 13 feet.

To know more about the 45°-45°-90° triangle theorem click the link given below.

https://brainly.com/question/3411060