Question

7.1.PS-12

What is the length of the unknown leg of
the right triangle?
1 ft
4 ft
(The figure is not drawn to scale.)
The length of the unknown leg of the right triangle is
(Round to one decimal place as needed.)
ft.

Answer 1

• The length of the unknown leg of the right triangle is 3.9 ft

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Given a right triangle with one leg of 1 ft and hypotenuse of 4 ft.

Find the length of the missing leg x using Pythagorean theorem:

• x² + 1² = 4²
• x² + 1 = 16
• x² = 15
• x = √15
• x = 3.87298334621
• x ≈ 3.9 ft (rounded)