Question 135
∠ACB is an angle in the semicircle of diameter AB = 5 and AC : BC = 3 : 4. The area of the triangle ABC is
Solution
As shown in above diagram,
$$\triangle$$ ABC is a right angle triangle because angle subtended in semicircle is a right angle
AB=5cm,
AC : BC = 3 : 4, or AC=3cm, BC=4cm
Area of $$\triangle$$ ABC= $$\frac{1}{2} \times AC \times BC$$ = 6$$(cm)^{2}$$
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