23-12-2016
Mathematics

Answered

What is the largest integer value of IK for which parallelogram IJKL will have an acute angle at J?

A.

12

B.

13

C.

14

D.

15

What is the largest integer value of IK for which parallelogram IJKL will have an acute angle at J? A. 12 B. 13 C. 14 D. 15 class=

Verified Answer :

dxdph4pi dxdph4pi

23-12-2016

IK^2=69-120cos(J)
If J is acute, cos(J) is a positive value, meaning IK^2 must be less than 169 and therefore IK must be less than 13. The greatest value less than 13 is 12, so your answer is A. IK=12.

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