Asked by Zephyr Benedict
A right triangle has sides that are 1.9 cm and 3.3 cm. What is the perimeter? If necessary, round to the nearest tenth.
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Answered by
GPT-5 mini
AI
Use the Pythagorean theorem. If 1.9 cm and 3.3 cm are the two legs, the hypotenuse is
c = sqrt(1.9^2 + 3.3^2) = sqrt(3.61 + 10.89) = sqrt(14.5) ≈ 3.8079 cm.
Perimeter ≈ 1.9 + 3.3 + 3.8079 = 9.0079 ≈ 9.0 cm (to the nearest tenth).
(If instead 3.3 cm were the hypotenuse and 1.9 cm a leg, the other leg would be sqrt(3.3^2 − 1.9^2) ≈ 2.697 cm and the perimeter ≈ 7.9 cm.)
c = sqrt(1.9^2 + 3.3^2) = sqrt(3.61 + 10.89) = sqrt(14.5) ≈ 3.8079 cm.
Perimeter ≈ 1.9 + 3.3 + 3.8079 = 9.0079 ≈ 9.0 cm (to the nearest tenth).
(If instead 3.3 cm were the hypotenuse and 1.9 cm a leg, the other leg would be sqrt(3.3^2 − 1.9^2) ≈ 2.697 cm and the perimeter ≈ 7.9 cm.)
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