Question

Que. Use Pythagoras theorem to check which triplets would make a right triangle.

a. 15, 20, 25

(answer with full solution)​

Answer 1

Solution!!

Pythagoras Theorem → (Base)² + (Perpendicular)² = (Hypotenuse)²

The largest side is the hypotenuse. So, the largest number in the triplet is the hypotenuse and the other two can be base and perpendicular.

Triplet → 15, 20, 25

Hypotenuse = 25

Base = 15

Perpendicular = 20

Let's find out if the triplet makes a right angle triangle.

Taking the LHS,

(15)² + (20)²

225 + 400

625

Taking the RHS,

(25)²

625

Hence,

LHS = RHS

This means that the triplet would make a right angled triangle.

For your information, if the LHS ≠ RHS, then this doesn't satisfy the Pythagoras Theorem. Hence, it wouldn't make a right angled triangle.

Answer 2

Answer:

pythagoras theorem = A² = P² + B²

Step-by-step explanation:

25²= 20²+15²

625=400+225

625= 625

hence proved

that the given triplet can make a right angled triangle

because the sum of the other two sides is equal to the sum of the hypotenuse ( the longest side)