Question

a right angled triangle having perimeter 120cm has its two perpendicular sides in the ratio5:12.Find the length of its sides​

Answer 1

Answer:

20 cm, 48 cm, 52 cm

Step-by-step explanation:

Given Perimeter = 120 cm

Two perpendicular sides are in the ratio = 5:12

therefore, 5X & 12X

Perimeter of a right angled triangle = a+b+((a^2+b^2)^1/2)

120 = 5X + 12X + ((25X^2 + 144 X^2)^1/2

120 = 17X + (169X)^1/2

120 = 17X + 13X

120 = 30X

X = 4

Length of its sides are 20cm, 48cm

Using Pythagoras theorem third side can be found 52cm.

Answer 2

Answer:

Answer:

20 cm, 48 cm, 52 cm

Step-by-step explanation:

Given Perimeter = 120 cm

Two perpendicular sides are in the ratio = 5:12

therefore, 5X & 12X

Perimeter of a right angled triangle = a+b+((a^2+b^2)^1/2)

120 = 5X + 12X + ((25X^2 + 144 X^2)^1/2

120 = 17X + (169X)^1/2

120 = 17X + 13X

120 = 30X

X = 4

Length of its sides are 20cm, 48cm

Using Pythagoras theorem third side can be found 52cm.

Step-by-step explanation: