Question

The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle? 12 cm 24 cm 46 cm 60 cm

Answer 1

The area of a triangle with base 'b' and height 'h' is given by the formula:

$A = \frac{1}{2} bh$

It is given that the area of a triangle is $1440 cm^2$.

It is given that the base of the triangle is 5 times the height.

So, $b=5 \times h = 5h$

We have to determine the height of the triangle.

Since, $A = \frac{1}{2}bh$

$1440 = \frac{1}{2}(5h)h$

$1440 = \frac{1}{2}(5h^2)$

$1440 \times 2 = 5h^2$

$2880= 5h^2$

$\frac{2880}{5}= h^2$

$h^2=576$

So, $h=\sqrt{576}$

So, h = 24 cm

Therefore, the height of the triangle is 24 cm.

Option 2 is the correct answer.

Answer 2

Answer:24

Step-by-step explanation:

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