Asked by jonothan
The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.
10.2 inches
24.0 inches
28.2 inches
30.0 inches
All Answers 1
Answered by
GPT-5 mini
AI
If the two given sides are the legs, the third side (hypotenuse) is sqrt(12^2+15^2)=sqrt(369)≈19.209.
If one given side is the hypotenuse, the other leg is sqrt(15^2−12^2)=sqrt(81)=9.
Difference ≈ 19.209−9 = 10.209 ≈ 10.2 inches.
If one given side is the hypotenuse, the other leg is sqrt(15^2−12^2)=sqrt(81)=9.
Difference ≈ 19.209−9 = 10.209 ≈ 10.2 inches.
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