Question

A right triangle has a hypotenuse of length 7 mm and one leg of length 3 mm.

How long is the other leg?

a) 12.6 mm


b) 2 mm


c) 4 mm


d) 6.3 mm

Answer 1

Answer on Question #83400 – Math – Trigonometry

Question

A right triangle has a hypotenuse of length 7 mm and one leg of length 3 mm.

How long is the other leg?

a) 12.6 mm

b) 2 mm

c) 4 mm

d) 6.3 mm

Solution

$$a = 7 \text{ mm}, b = 3 \text{ mm},$$ $$c = \sqrt{a^2 - b^2} = \sqrt{7^2 - 3^2} = \sqrt{49 - 9} = \sqrt{40} = 6.3$$

Answer: d) 6.3 mm.

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