One side of a right-angled triangle is twice the other, and the hypotenuse is 10 cm. The area of the triangle is :
A. 20 cm2
B. $$33\frac{1}{3}$$ cm2
C. 40 cm2
D. 50 cm2
Answer: Option A
Solution(By Examveda Team)
Let the sides be a cm and 2a cmThen,
$$\eqalign{ & {a^2} + {\left( {2a} \right)^2} = {\left( {10} \right)^2} \cr & \Rightarrow 5{a^2} = 100 \cr & \Rightarrow {a^2} = 20 \cr} $$
∴ Area :
$$\eqalign{ & = \left( {\frac{1}{2} \times a \times 2a} \right) \cr & = {a^2} \cr & = 20\,c{m^2} \cr} $$
Related Questions on Area
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D. 307200 m2
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A. 2%
B. 2.02%
C. 4%
D. 4.04%
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D. Data inadequate
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The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A. 40%
B. 42%
C. 44%
D. 46%
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