The sides of a right angled triangle are 2a cm, (2a+2) cm and (4a -2) cm long. What is the length of the shortest side of the triangle if its perimeter is 24 cm?

8 cm

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6 cm

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10 cm

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3 cm

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Solution

The correct option is B 6 cm
Perimeter of the triangle
= [2a + (2a + 2) + (4a - 2)] cm
$\Rightarrow$ 8a cm = 24 cm or a = 3 cm
$∴$ The length of the shortest side is 2a = 6 cm.

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The sides of a right angled triangle are 2a cm, (2a+2) cm and (4a -2) cm long. What is the length of the shortest side of the triangle if its perimeter is 24 cm?

The correct option is B 6 cmPerimeter of the triangle = [2a + (2a + 2) + (4a - 2)] cm ⇒ 8a cm = 24 cm or a = 3 cm ∴ The length of the shortest side is 2a = 6 cm.

The correct option is B 6 cm
Perimeter of the triangle
= [2a + (2a + 2) + (4a - 2)] cm
$\Rightarrow$ 8a cm = 24 cm or a = 3 cm
$∴$ The length of the shortest side is 2a = 6 cm.