Question

5. The base and height of a triangle are in the ratio 3:4. If the area of the triangle is

150 cm, find its base and height​

Answer 1

Explanation:

Let the ratio be x

base = 3x height = 2x

area of triangle = 108

⇒

2

1

×2x×3x=108

⇒3x

2

=108

⇒x

2

=36

x=6

Base=3x=3×6=18cm

height=2x=2×6=12cm.

Answer 2

Answer:

b=15cm.

h=20cm.

Explanation:

Given,

Ratio =3:4

Area =150cm^2

Let,

the base =3x

the height =4x

Now,

Area of the triangle =1/2×b×h

150 =1/2×3x×4x

150×2 =12x^2

300/12 = x^2

√25 =x

x = 5

Now,

Base = 3×5

=15cm.

Height=4×25

=20cm.

Therefore, b=15cm, h=20cm.

Hope it helps u.....