The hypotenuse of a right-angled triangle is 39 cm and the difference of other two sides is 21 cm. Then, the area of the triangle is:
Answer & explanation
Correct answer: option 2
We know tht,
5,12 and 13 is a triplet.
And given,
The hypotenuse of a right-angled triangle is 39 cm and the difference of other two sides is 21 cm.
So if we compare given hypotenuse with the triplet we get,
13x = 39
x = 3
Then,
5 = 5 × 3 = 15
12 = 12 × 3 = 36
So, difference between both of them = 36 - 15 = 21 ( satisfied.)
Area of right angled triangle = \(\frac{1}{2}\) × Base × Height
= \(\frac{1}{2}\) × 36 × 21 = 270 cm2