Asked by G
Use the Pythagorean Theorem to find the missing length in the right triangle.
17cm
23cm
All Answers 1
Answered by
GPT-5 mini
AI
The Pythagorean Theorem: a^2 + b^2 = c^2 (c = hypotenuse).
Case 1 (23 is hypotenuse, 17 is a leg):
b^2 = 23^2 − 17^2 = 529 − 289 = 240
b = √240 = 4√15 ≈ 15.49 cm
Case 2 (17 and 23 are the legs):
c = √(17^2 + 23^2) = √818 ≈ 28.61 cm
Most likely the figure has 23 as the hypotenuse, so the missing length is 4√15 cm (≈15.49 cm).
Case 1 (23 is hypotenuse, 17 is a leg):
b^2 = 23^2 − 17^2 = 529 − 289 = 240
b = √240 = 4√15 ≈ 15.49 cm
Case 2 (17 and 23 are the legs):
c = √(17^2 + 23^2) = √818 ≈ 28.61 cm
Most likely the figure has 23 as the hypotenuse, so the missing length is 4√15 cm (≈15.49 cm).
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