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A=8 , b=13, c=13 solve the triangle

User Gondalez
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1 Answer

4 votes

Answer:

Solving the triangle means you are to find A , B and C

and this can be done using cosine rule:

Cos A = b^2 +c^2 - a^2 / 2bc

Cos B = a^2 + c^2 - b^2 / 2ac

Cos C = a^2 + b^2 - c^2 / 2ab

substituting the values of a , b and c into the formulas above we have

Cos A = 13^2 + 13^2 - 8 ^2 / 2 x 13 x 13

= 169 + 169 - 64 / 2 x 169

= 338 - 64 / 338

= 274/338

therefore A = Cos^-1 274/338

A = 35.8404

follow the same step to calculate B

Cos B = 64 + 169 - 169/ 2 x 8x 13

Cos B = 64/ 208

B = Cos^-1 64/ 208

B = 72. 0797

Since the triangle is isosceles, it implies B = C

Therefore A ≈ 35.8404 , B ≈ 72. 0797 and C ≈ 72.0797

Explanation:

User Shoter
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