Question

The perimeter of a right triangle is 60cm . It's hypotenuse is 25 cm. Find the area of the triangle.

Answer 1

We know that triplet only satisfies with 5 is 4 and 3 ..
When we multiply 5 with 5 it gives us hypo.
Hence 4 and 3 is also multiplied with 5 for making a triplet,
Hence,it becomes 20 and 15
Hence perimeter is 60(20+15+25)
So,the area is ..
= 1/2bh
Hence, 1/2 · 20 · 15=150 cm^2
hope it's helpful

Answer 2

Answer:

Step-by-step explanation:

Let a, b, c be base, height and hypotenuse respectively. You have c=25 and a+b=35 and a²+b²=c²=25². Here the area of triangle is ½ab. Then (a+b)²=35² ⇒ 2ab=35²-(a²+b²) ⇒ 2ab=4(30)(5) ⇒½ab=150. Hence area of triangle is 150 sq. units