Discussion
Area of a right triangle is 240 cm2. If its one side other than the hypotenuse is 30 cm, then perimeter (in cm) of the triangle is :
Answer: A
The perimeter is 80 cm.
The 30 cm side is one leg, so the other leg h comes from the area, and the hypotenuse from Pythagoras:
\[ \begin{aligned} \tfrac{1}{2} \times 30 \times h &= 240 \Rightarrow h = 16 \\ \text{hyp} &= \sqrt{30^2 + 16^2} = \sqrt{1156} = 34 \\ \text{Perimeter} &= 30 + 16 + 34 = 80 \end{aligned} \]
Forgetting the half in the area formula gives h = 8 and a different, non-integer hypotenuse, so none of the other options fits.
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