Question

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In a right triangle, the side c opposite the right angle is called the hypotenuse, and the other two sides a and b are called legs.

The Pythagorean theorem states that in any right triangle, the lengths of the three sides are related by the equation c2=a2+b2 Use the Pythagorean theorem to answer the following question.


One leg of a right triangle measures 8 inches and the hypotenuse 17 inches. Determine the length of the other leg.

a.

9 inches

b.

13 inches

c.

15 inches

d.

17 inches

Answer 1

Answer; c^2 = a^2 + b^2

c = 17 inches

a = 8 inches

b^2 = c^2 – a^2

b^2 = 17^2 – 8^2

b^2 = 289 – 64

b^2 = 225

b = square root of 225

b = 15 inches ≈ c.

Answer 2

Answer:

C

Step-by-step explanation:

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