Given a triangle with a 112^circ angle. The adjusted sides to this angle are equal. Find their length, if A=80cm^2.

jernplate8

jernplate8

Answered question

2021-02-03

Given a triangle with a 112 angle. The adjusted sides to this angle are equal. Find their length, if A=80cm2.

Answer & Explanation

lobeflepnoumni

lobeflepnoumni

Skilled2021-02-04Added 99 answers

Let each of the sides be S.
The formula for the triangle with equal sides:
A=12S2sin2θ
Isolate S:
S=2Asin2θ
Substitute θ=112andA=80cm2 from the given:
S=160sin2(112)
=410sin2(112)
=410sin2(112)sin2(112)sin2(112)
=410sin2(112)sin2(112)
=13.64250...

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