Question

Find each measurement indicated. Round your answer as the nearest tenth. HELP PLEASE!!!!!! URGENT

Answer 1

(1) length AB = 21.0

(2) length BC = 45.0

Explanation:

(1) To determine AB, apply Cosine rule;

`|AB|^2 = |AC|^2 + |BC|^2 \ - \ 2[|AC| * |BC]cos \ C\\\\|AB|^2 = 13^2 + 29^2 \ - \ 2(13 * 29) cos(41)\\\\|AB|^2 = 1010 - 569.05\\\\|AB|^2 = 440.95\\\\|AB|= √( 440.95) \\\\|AB| = 21.0`

(2) To determine BC, also apply cosine rule;

`|BC|^2 = |AB|^2 + |AC|^2 \ - \ 2[|AB| * |AC]cos \ A\\\\|BC|^2 = 30^2 + 21^2 \ - \ 2(30 * 21) cos(123)\\\\|BC|^2 = 1341 - (-686.245)\\\\|BC|^2 = 1341 + 686.245\\\\ |BC| = 2027.245\\\\|BC|= √( 2027.245) \\\\|BC| = 45.0`