Question

The perimeter of a right triangle is 70cm and its hypotenuse is 29cm. the area of the triangle is

Answer 1

Answer:

Step-by-step explanation:

As perimeter=70cm and hypotenuse=29cm, the sum of the lengths of perpendicular sides, say a and b, will be a+b=70cm-29cm=41cm

From identity, (a+b)²=a²+b²+2ab, we have

(41)²=(29)²+2ab    [ As ABC is right angled triangle, therefore (hypotenuse)²=a²+b²]

So, 2ab=1681-841=840

or, ab=420

Area of the triangle ABC is 1/2(ab)=1/2(420)=210 cm²

Answer 2

Answer:

210 cm²

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