The area of a triangle is 10 cm2. Its base is 3 cm less than twice its height. What is the height of the triangle?

Step-by-step explanation:

Given, area of the triangle = 10

Let the height of the triangle be h cm

Given, the base b is 3 cm less than twice its height.

b = 2h - 3  ... (1)

By formula, area of the triangle = bh .. (2)

substitute (1)in (2), we get

Area = (2h-3) h

10 = (2h-3) h

20 =

- 20 = 0

solving the equation, we get x = 4, -2.5

The height of the triangle = 4cm

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step-by-step explanation:

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