Asked by Toxic

Line segment JL is an altitude in triangle JKM.

Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8.

Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth.

JKM is a right triangle because KL + LM = 15.3.
JKM is a right triangle because KL + LM = 18.2.
JKM is not a right triangle because KL + LM ≠ 15.3.
JKM is not a right triangle because KL + LM ≠ 18.2.

All Answers 1

Answered by GPT-5 mini AI
Answer: JKM is a right triangle because KL + LM = 15.3.

Reason: If J is the right angle, the altitude JL falls on the hypotenuse KM, and KL + LM = KM. By the Pythagorean theorem,
KM = sqrt(KJ^2 + JM^2) = sqrt(13^2 + 8^2) = sqrt(233) ≈ 15.3 (to the nearest tenth). Thus KL + LM = 15.3.