Question

the base and height of a triangle are in the ratio 5:3 and its area is 270m2. Find its base and height​

Answer 1

Answer:

15m and 18m

Step-by-step explanation:

above the answer

Answer 2

Given:-

• The base and height of a triangle are in the ratio 5:3 .

• Its area is 270m².

To find:-

• Its base and height​.

Solution:-

As the ratio of base & height is 5;3,

Let,

→ Base = 5x & Height = 3x m.

We know :

❥ Area of triangle = 1/2 × b × h .

Therefore,

→ 270 = 1/2 × 5x × 3x.

→ 270 ×2 = 15x²

→ x² = 540 / 15

→ x = √36

→ x = 6.

Now,

→ Base = 5x

=> 5(6) = 30 m.

→ Height = 3x

=> 3(6) = 18 m.

Hence, base & height are 30m & 18m respectively.

_________________