Question : Find out the area of the triangle of base 7 cm and the corresponding height of 12 cm.
Option 1: 42 cm2
Option 2: 54 cm2
Option 3: 43 cm2
Option 4: 44 cm2
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Correct Answer: 42 cm2
Solution : Area of a triangle = $\frac{1}{2}$ × Base × Height Given the base ($b$) is 7 cm and the height ($h$) is 12 cm. So, the area = $\frac{1}{2}$ × 7 × 12 = 42 cm2 Hence, the correct answer is 42 cm2.
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Question : Find the area of the triangle whose height is 56 cm and the corresponding base is $\frac{1}{4}$th of the height.
Option 1: 544 cm2
Option 2: 440 cm2
Option 3: 392 cm2
Option 4: 480 cm2
Question : The base of a triangle is 16 cm and its area is 144 cm2. Find its corresponding height, with respect to the given base.
Option 1: 18 cm
Option 2: 9 cm
Option 3: 24 cm
Option 4: 12 cm
Question : If $\triangle \mathrm{ABC}$ is similar to $\triangle \mathrm{DEF}$ such that $\mathrm{BC}=3 \mathrm{~cm}, \mathrm{EF}=4 \mathrm{~cm}$ and the area of $\triangle \mathrm{ABC}=54 \mathrm{~cm}^2$, then the area of $\triangle \mathrm{DEF}$ is:
Option 1: 78 cm2
Option 2: 96 cm2
Option 3: 66 cm2
Question : Find the curved surface area of a cone whose radius of the base is 7 cm and slant height is 8 cm. [Use $\pi=\frac{22}{7}$]
Option 1: 132 cm2
Option 2: 198 cm2
Option 3: 154 cm2
Option 4: 176 cm2
Question : The sides of a triangle are 20 cm, 48 cm, and 52 cm. What is the area of the triangle?
Option 1: 320 cm2
Option 2: 480 cm2
Option 3: 560 cm2
Option 4: 245 cm2
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