Question

For the right triangles below, find the values of the side lengths d and b.

Write answers in simplified radical form if necessary.

Answer 1

• d = 2√2
• b = 5√3

Explanation:

In these special right triangles, the sides have length ratios ...

45-45-90: 1 : 1 : √2

30-60-90: 1 : √3 : 2

This tells us ...

d×√2 = 4 . . . . . . . . . . relationship between the side and the hypotenuse

d = 4/√2 = 2√2

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b = 5√3 . . . . relationship between the short side and long side