Question : What is the area of a triangle whose sides are of lengths 12 cm, 13 cm and 5 cm?
Option 1: $30 \, ext{cm}^2$
Option 2: $15 \, ext{cm}^2$
Option 3: $40 \, ext{cm}^2$
Option 4: $70 \, ext{cm}^2$

Question

Question : What is the area of a triangle whose sides are of lengths 12 cm, 13 cm and 5 cm?

Option 1: $30 \, ext{cm}^2$

Option 2: $15 \, ext{cm}^2$

Option 3: $40 \, ext{cm}^2$

Option 4: $70 \, ext{cm}^2$

Team Careers360 · Accepted Answer

Correct Answer: $30 \, ext{cm}^2$

Solution : The triangle with sides 12 cm, 13 cm, and 5 cm is a right-angled triangle (since $12^2 + 5^2 = 13^2$).
The area of a right-angled triangle = $\frac{1}{2} imes ext{base} imes ext{height}$.
Here, the base and height are the two shorter sides of the triangle.
The area of the triangle = $\frac{1}{2} imes 12 \, ext{cm} imes 5 \, ext{cm} = 30 \, ext{cm}^2$.
Hence, the correct answer is $30 \, ext{cm}^2$.

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Question : What is the area of a triangle whose sides are of lengths 12 cm, 13 cm and 5 cm?Option 1: 30cm2Option 2: 15cm2Option 3: 40cm2Option 4: 70cm2

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Question : What is the area of a triangle whose sides are of lengths 12 cm, 13 cm and 5 cm?
Option 1: $30 {cm}^{2}$
Option 2: $15 {cm}^{2}$
Option 3: $40 {cm}^{2}$
Option 4: $70 {cm}^{2}$