Question

the length of the sides of triangles are given below. which of them are right -angled? a. 15cm, 20cm, 25cm b. 9cm, 12cm, 16cm​

Answer 1

Answer:

a is correct answer

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Answer 2

1.Given sides are 15cm,20cm,25cm

Square of the longest side = (25) ^2 =625 cm ^2 .

Sum of the squares of other two sides = (15) ^2 + (20) ^2

= 225 + 400 = 625 cm^2  .

Since, the square of the longest side in a triangle is equal to

the sum of the squares of other two sides

∴ The given sides form a right triangle

2.Given sides are 9cm,12cm,16cm

Square of the longest side = (16)^2=256^2

Sum of the squares of other two sides =(9)^2+(12)^2=81+144=225^2

Since, the square of the longest side in a triangle is not equal to

the sum of the squares of other two sides

∴ The given sides not form a right triangle