Question

5. The base and height of a triangle are in the ratio of 4:3 and its area is 150 cm. Find the base and height.​

Answer 1

Answer:here is the answer

Hope it helps you :)

Step-by-step explanation:

Let the base and height of the triangle be 4x and 3x respectively.

Area of the triangle=150cm

Thus, area of the triangle is 1/2 x base x height

1/2*4x*3x=150

6x^2 = 150

X^2 = 150/6

X^2 = 25

X = √25

X= 5

Thus, base = 4x=4*5=20cm

And height=3x=3*5= 15 cm

Answer 2

Answer:

Base =20 cm and Height = 15 cm

Step-by-step explanation:

According to the information provided in the question it is given as

Ratio 4:3 Base to height

Area =150cm

We need to find the base and height of triangle

Let us assume base =4x

                        height=3x

Applying the formula of area of triangle

$A=\frac{1}{2} \times 4x \times 3x\\150 =\frac{1}{2} \times 12x^{2}$

Converting to the lowest term we get

$150=6x^{2} \\x^{2} =\frac{150}{6} \\x^{2} =25$

$x=\sqrt{25}$

Now  value of x= 5

So Base = 4 x =4 x5

                       =20cm

Height =3x =3 x5

                   =15 cm

So Base =20 cm and Height = 15 cm