Identify the triangle and known sides.

April 22, 2026Mathematics

ScanSolve AI Answer

April 22, 2026

Answer

5 , cm $,$ BC = 8 , cm $, and diagonal$ AC = 10 , cm$.

Fresh day Bezo, let's solve.

a) Find the size of angle ABC.

Step 1: Identify the triangle and known sides. We are given $\triangle ABC$ with sides $AB = 5 \, cm$ , $BC = 8 \, cm$ , and diagonal $AC = 10 \, cm$ .

Step 2: Apply the Cosine Rule to find $\angle ABC$ . The Cosine Rule states $c^2 = a^2 + b^2 - 2ab \cos C$ . In $\triangle ABC$ , we want to find $\angle ABC$ , so we use $AC^2 = AB^2 + BC^2 - 2(AB)(BC) \cos(\angle ABC)$ .

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Fresh day Bezo, let's solve.
a) Find the size of angle ABC.
We are given ABC with sides AB = 5 \, cm, BC = 8 \, cm, and diagonal AC = 10 \, cm.
The Cosine Rule states c^2 = a^2 + b^2 - 2ab C.

Asked on April 22, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 22, 2026

Fresh day Bezo, let's solve. a) Find the size of angle ABC. Step 1: Identify the triangle and known sides. We are given ABC with sides AB = 5 \, cm, BC = 8 \, cm, and diagonal AC = 10 \, cm. Step 2: Apply the Cosine Rule to find ABC. The Cosine Rule states c^2 = a^2 + b^2 - 2ab C. In ABC, we want to find ABC, so we use AC^2 = AB^2 + BC^2 - 2(AB)(BC) ( ABC). 10^2 = 5^