Question

The base and the corresponding altitude
are in the ratio 3:4. If the area of the traingle is 294 cm2 find the base and the corresponding altitude ?the base and the corresponding altitude of a triangle are in the ratio 3 is to the power 4 if the area of the triangle is 294 CM square find the base and the corresponding altitude ​

Answer 1

Answer:

Base of the triangle = 21 cm

Altitude of the triangle = 28 cm

Step-by-step explanation:

Let the base and altitude be 3x and 4x respectively,

Area of the triangle = 1/2 bh

=1/2(3x)(4x)

=12x²/2

=6x²

It is given that area of the triangle is 294 cm²

6x²=294

x² = 294/6

x² = 49

x = 7

Base = 3x = 3 × 7 = 21 cm

Altitude = 4x = 4 × 7 = 28 cm

Answer 2

GIVEN:-

b=12cm

area=${48cm^2}$

TO FIND:-

h=?

solution:-

WE KNOW THE AREA OF TRIANGLE AS

$= > \frac{1}{2} \times b \times h$

now, put the given values.....

$\frac{1}{2} \times 12 \times h = {48cm}^{2}$

$= > \frac{1}{ \cancel2} \times \cancel{12} \times h = 48$

$= > 6 \times h = 48$

$= > h = \frac{ \cancel{48}}{ \cancel 6}$

$= > h = 8cm$

so, the height is

$\boxed{8cm}$