Q4 of 15 Page 134

There are four right triangles, the ratio of perpendicular sides being 3 : 4 in each. Once more fact about each is given below. Find the lengths of the sides of each triangle.

The hypotenuse is 24 meres.

Ratio of perpendicular sides = 3 ∶ 4

Let, one perpendicular side = 3x m and the other perpendicular side = 4x m


According to problem,



⇒ √(25x2) = 24


⇒ 5x = 24


⇒ x = 24/5


⇒ 4.8


∴ One perpendicular side = 3 × 4.8 = 14.4 m


The other perpendicular side = 4 × 4.8 = 19.2 m


Hypotenuse = 24 m


More from this chapter

All 15 →
3

Blue and yellow paints are mixed in the ratio 2 : 5 to make a new colour. 6 litres more of yellow than blue is taken. How many litres of each is mixed?

 4

There are four right triangles, the ratio of perpendicular sides being 3 : 4 in each. Once more fact about each is given below. Find the lengths of the sides of each triangle.

The difference in the lengths of the perpendicular sides is 24 meters.

 4

There are four right triangles, the ratio of perpendicular sides being 3 : 4 in each. Once more fact about each is given below. Find the lengths of the sides of each triangle.

The perimeter is 24 metres.

 4

There are four right triangles, the ratio of perpendicular sides being 3 : 4 in each. Once more fact about each is given below. Find the lengths of the sides of each triangle.

The area is 24 square metres.