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aksik [14]
2 years ago
14

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 2

4 cm 46 cm 60 cm
Mathematics
2 answers:
GarryVolchara [31]2 years ago
6 0

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.

Artyom0805 [142]2 years ago
3 0

Answer:24

Step-by-step explanation:

Just took the test

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