Given a right triangle, where one cathetus is barA=11 m, the hypothenuse i

fortdefruitI 2021-10-23 Answered
Given a right triangle, where one cathetus is A=11 m, the hypothenuse is C=15 m, and c=90 . Find all missing sides (B)ands(aandb).
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Expert Answer

davonliefI
Answered 2021-10-24 Author has 79 answers
first, to find B, use the Pythagorean Theorem:
A2+B2=C2
Isolate B2
B2=C2A2
B2=152112
B=104
B10.2 m
To find a, using the cosine ratio (assuming A is adj to agna):
cosa=AC=1115
a=cos(1)(1115)
43
To find b, subtract both other angles from 180 (since the sum of all angles in any triangle is 180):
b=180ac
b=1804390
b=47
Answer:
B10.2m;a43;b47
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