Question

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?
​

Answer 1

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.