Q8
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?
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Q8
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?
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Answer:
6 cm
Step-by-step explanation:
Given
The sides of the right-angled triangle
Side₁ = 2a cm
Side₂ = 2a + 2 cm
Side₃ = 4a - 2 cm
Perimeter of the triangle = 24 cm
⇒Side₁ + Side₂ + Side₃ = 24 cm
⇒2a + 2a+2 + 4a-2 = 24
⇒8a = 24
∴a = 24/8 = 3
∴a = 3
The shortest side is 2a.
∴Length of the shortest side = 2a = 2(3) = 6 cm.