Question

Find the height of the triangle whose area = 8.10 mt.sq and base = 6m 48 cm.

Answer 1

Step-by-step explanation:

the height of the triangle is 2.46meters

Answer 2

Given,

Area of triangle = 8.10 m²

Length of base = 6m 48cm

To find,

The length of height of the given triangle.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here, we have to use the mathematical relationship between, height, base and area, of a triangle. Which is -

Area of triangle = ½ × Base × Height

Now,

Length of base :

= 6m 48cm

= 6m + 0.48m [1m = 100cm ; 48cm = 0.48m]

= 6.48m

Now, putting the derived and given values in the previously mentioned mathematical relationship :

8.10 = ½ × 6.48 × Height

½ × 6.48 × Height = 8.10

3.24 × Height = 8.10

Height = 8.10/3.24

Height = 2.5 m

(This will be considered as the final result.)

Hence, the height of the triangle is 2.5 metres