Question

the base and height of a triangle are ina ratio 4:3 . if the are of the triangle is 150 cm ² . Find base​

Answer 1

Answer:

The base and height are 20 cm and 15 cm.

Step-by-step explanation:

We know that, Area of triangle is given by :

Area = (0.5) x base x height

Given: The base and height of a triangle are in the ratio of 4:3.

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

Area of triangle = (0.5)(4x)(3x) = 6x²

Since the area is 150 cm square

⇒ 6x² = 150

x² = 25

x = 5

Base = 4(5) = 20 cm

Height = 3(5) = 15 cm

Hence, the base and height are 20 cm and 15 cm.

Answer 2

GIVEN THAT;

$&#10148$ The base and height of a triangle are ina ratio 4:3 and the area of the triangle is 150 cm ².

FORMULA

$&#10148$ The area of a triangle

$&#10230 \: \: \frac{1}{2} \times b \times h$

where,

b = base of triangle

h = height of triangle

SOLUTION

$&#10148$ Let the base and height of triangle 4x and 3x

now the area of triangle

$\implies \: \: \frac{1}{\cancel2} \times \cancel4x \times 3x = 150 \\ \\ \implies \: \: 6 {x}^{2} = 150 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: \: {x}^{2} = \frac{\cancel{150}}{\cancel{6}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: \: {x}^{2} = 25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: \: x = \sqrt{25} = 5 \: \: \: \: \: \: \: \: \: \: \:$

So the base of triangle = 4x = 4 × 5 = 20 cm