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 area is 24 square metres.

Ratio of perpendicular sides = 3 ∶ 4

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


According to problem,


⇒ 1/2 × 3x × 4x = 24


⇒ 6x2 = 24


⇒ x2 = 4


⇒ x = 2


∴ One perpendicular side = 3 × 2 = 6 m


The other perpendicular side = 4 × 2 = 8 m


∴ Hypotenuse = √(62 + 82) = √100 = 10 m


More from this chapter

All 15 →
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 hypotenuse is 24 meres.

 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.

 1

Acid and water are mixed in the ratio 4 : 3 to make a liquid. On adding 10 more litres of Acid, the ratio changed to 3 : 1. How many litres of acid and water does the liquid contain now?

 2

Two angles are in the ratio 1 : 2. On increasing the smaller angle by 6° and decreasing the larger angle by 6°, the ratio changed to 2 : 3. What were the original angles?