Question

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If b=2.2 yards and c=8 yards, what is the perimeter? If necessary, round to the nearest tenth.

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Answer 1

To find the perimeter of the right triangle, we need to know the length of the other leg, a. We can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs:

c^2 = a^2 + b^2

Substituting the given values, we get:

8^2 = a^2 + 2.2^2

64 = a^2 + 4.84

a^2 = 59.16

a ≈ 7.69 yards (rounded to the nearest hundredth)

Now we can find the perimeter by adding the lengths of all three sides:

perimeter = a + b + c

perimeter ≈ 7.69 + 2.2 + 8

perimeter ≈ 17.9 yards (rounded to the nearest tenth)

Therefore, the perimeter of the right triangle is approximately 17.9 yards.