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Q8 The sides of a right-angled triangle are2a cm, ( 2a + 2 ) cm and ( 4a - 2) cm long.What is the length of the shortest side ofthe triangle if its perimeter is 24 cm? |
| Answer» 6 cmStep-by-step EXPLANATION:Given The sides of the right-angled triangle Side₁ = 2a cmSide₂ = 2a + 2 cmSide₃ = 4a - 2 cmPerimeter of the triangle = 24 cm⇒Side₁ + Side₂ + Side₃ = 24 cm⇒2a + 2a+2 + 4a-2 = 24⇒8a = 24∴a = 24/8 = 3∴a = 3The shortest side is 2a.∴Length of the shortest side = 2a = 2(3) = 6 cm. | |