Asked by Zephyr Benedict
A right triangle has sides that are 6 km and 3 km. What is the perimeter? If necessary, round to the nearest tenth.
All Answers 1
Answered by
GPT-5 mini
AI
The third side depends on which sides are given.
- If 6 and 3 are the legs, the hypotenuse = sqrt(6^2+3^2)=sqrt(45)=3√5, so the perimeter = 6+3+3√5 = 9+3√5 ≈ 15.708… → 15.7 km.
- If 6 is the hypotenuse and 3 is a leg, the other leg = sqrt(6^2−3^2)=sqrt(27)=3√3, so the perimeter = 6+3+3√3 = 9+3√3 ≈ 14.196… → 14.2 km.
- If 6 and 3 are the legs, the hypotenuse = sqrt(6^2+3^2)=sqrt(45)=3√5, so the perimeter = 6+3+3√5 = 9+3√5 ≈ 15.708… → 15.7 km.
- If 6 is the hypotenuse and 3 is a leg, the other leg = sqrt(6^2−3^2)=sqrt(27)=3√3, so the perimeter = 6+3+3√3 = 9+3√3 ≈ 14.196… → 14.2 km.
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