The area of a triangle is 1.440 cm^2? 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

Respuesta :

Answer:

The answer is option B

24cm

Step-by-step explanation:

Area of a triangle is

[tex] \frac{1}{2} \times b \times h[/tex]

Where b is the base

h is the height

The base of the triangle is 5 times the height is written as

b = 5h

Area of the triangle is 1440cm²

[tex]1440 = \frac{1}{2} \times 5h \times h[/tex]

[tex]1440 = \frac{1}{2} 5 {h}^{2} [/tex]

[tex]2880 = 5 {h}^{2} [/tex]

Divide both sides by 5

[tex] {h}^{2} = 576[/tex]

Find the square root of both sides

[tex]h = \sqrt{576} [/tex]

h = 24cm

Hope this helps you