Question : In an isosceles triangle, if the unequal side is 8 cm and the equal sides are 5 cm, then the area of the triangle is:
Option 1: 12 cm2
Option 2: 25 cm2
Option 3: 6 cm2
Option 4: 11 cm2
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Correct Answer: 12 cm 2
Solution :
Use the Pythagorean theorem to find the length of the height ($h$) of the triangle, $h = \sqrt{(5)^2 - (4)^2} = 3 \text{ cm}$ The area of the triangle is given by $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 8 \text{ cm} \times 3 \text{ cm} = 12 \text{ cm}^2$ Hence, the correct answer is 12 cm 2 .
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