Question

Find the red diagonal of the yellow triangle using the Pythagorean Theorem twice; one time to find the diagonal of the blue triangle and then a second time using your answer to find the diagonal of the yellow triangle.

Length = 22 inches
Height = 10 inches
Depth = 8 inches

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, let's find the diagonal of the blue triangle.

Using the Pythagorean Theorem on the blue triangle:
Diagonal ^ 2 = Length ^ 2 + Height ^ 2
Diagonal ^ 2 = 22^2 + 10^2
Diagonal ^ 2 = 484 + 100
Diagonal ^ 2 = 584
Diagonal ≈ 24.2 inches

Now, let's find the diagonal of the yellow triangle.

Using the Pythagorean Theorem on the yellow triangle:
Diagonal ^ 2 = Depth ^ 2 + Diagonal of blue triangle ^ 2
Diagonal ^ 2 = 8^2 + 24.2^2
Diagonal ^ 2 = 64 + 585.64
Diagonal ^ 2 = 649.64
Diagonal ≈ 25.5 inches

Therefore, the red diagonal of the yellow triangle is approximately 25.5 inches.