If for an isosceles triangle, the l

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

If for an isosceles triangle, the length of each equal side is 'a' unit and third side is 'b' unit; then its area is:

Options:

$\frac{b}{4}$ $\sqrt {4a^2 - b^2}$

$\frac{b}{2}$ $\sqrt {b^2 - 2a^2}$

$\frac{a}{2}$ $\sqrt {3a^2 - b^2}$

$\frac{\sqrt{4b^2 - a^2}}{2b}$

Correct Answer:

$\frac{b}{4}$ $\sqrt {4a^2 - b^2}$

Explanation:

Direct formula = $\frac{b}{4}$ $\sqrt {4a^2 - b^2}$