Question

The perimeter of a right triangle is 60 cm and its hypotenuse is 26cm. The other two sides of the triangle are​

Answer 1

Answer:

34

Step-by-step explanation:

perimeter = a+b+c=60

let c be the hypo. = 26

=a+b+26 = 60

=a+b = 60-26

=a+b = 34

Answer 2

️ Given:-

• The perimeter of right angle triangle is 60cm and hypothenuse is 26cm.

To Find:-

• Find two sides of triangle.

Solution:-

➭ a + b + c = 60

️ ➭ a + b + 26 = 60

️ ➭ a + b = 60 - 26

️ ➭ a + b = 34 ..... ( 1 )

And,

️ ➭ a² + b² = 676

Squares on both sides for equation ( 1 ):-

️ ➭ (a + b)² = 34²

️ ➭ a² + b² + 2ab = 1156

️ ➭ 676 + 2ab = 1156

️ ➭ 2ab = 1156 - 676

️ ➭ 2ab = 480

️ ➭ ab = 480/2

$\tt { \boxed{ \: ab \: = \: 240 \: } }$

• By solving we get a = 10 and

b = 24.