Question

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

Answer 1

The height of the triangle is 24 cm.

Step-by-step explanation:

Let's denote the height of the triangle as h and the base of the triangle as b.

Given that the area of the triangle is 1,440 cm2, we have h * (b/2) = 1,440 cm2.

Given that the base of the triangle is 5 times the height, we have b = 5h.

Substituting the value of b in terms of h in the equation for the area, we get h * (5h/2) = 1,440 cm2.

Simplifying the equation, we have 5h2/2 = 1,440 cm2.

Multiplying both sides of the equation by 2/5, we get h2 = 576 cm2.

Taking the square root of both sides, we find h = 24 cm.

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