In a rectangular prism below,JN=20, JK=16, and JL=35. Find the length of the diagonal JM if applicable, round your answer to the

Question

2 years ago

11

nearest whole number.
The lengths on the figure are not drawn accurately.

1 answer:

jok3333 [9.3K] · Answer 1 · 2022-08-28T01:05:54+03:00

Step-by-step explanation:

JNM is a right-angled triangle with JM being the Hypotenuse.

we know JN = 20

NM = KL, and that is a side of the right-angled triangle JKL, aber we know JK and JL.

KL² = JL² - JK² = 35² - 16² = 969

KL = NM = sqrt(969) = 31.12876483...

and now,

JN² + NM² = JM²

20² + 969 = JM²

400 + 969 = JM²

1369 = JM²

JM = 37