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In triangle abc given that angle a equals 57 angle b equals 73 and ab equals 24cm find the length of ac?
The sum of the angles inside a triangle is equal to 180°. We are told that angle a is 57°, and that angle b is 73°. This tells us that angle c is is (180 - 57 - 73)°, or 50°.
We are also given the length of side ab, 25cm. With that, we can use the sine rule to calculate the length of side ac:
sin(b) / |ac| = sin(c) / |ab|
∴ sin(73°) / |ac| = sin(50°) / 24cm
∴ |ac| = 24cm · sin(73°) / sin(50°)
∴ |ac| ≈ 29.96cm
What else can I help you with?
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