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