The length of the hypotenuse of a right-angled triangle is 37 cm and the length of one of its other two sides is 12 cm. What is the area of the triangle?
Answer & explanation
Correct answer: option 4
We know that,
Area of Triangle = \(\frac{1}{2}\) × Base × Height
Hypotenuse2 = Base2 + Perpendicular2
We have,
Hypotenuse = 37 cm
Length of one side = 12 cm
Put these values in the formula given above,
Let the another side = s
372 = 122 + s2
s2 =1369 – 144 = 1225
s = 35cm
So, Area of Triangle = \(\frac{1}{2}\) × 35 × 12 = 210cm2