Base of triangle is: 8 cm
Step-by-step explanation:
Let h be height of triangle and
b be the base
According to given statement "The height of a triangle is 7 cm longer than its base."
[tex]h = b+7[/tex]
Area of triangle = 60 square cm
The formula for the area of triangle is given by:
[tex]A = \frac{1}{2} * b * h\\60 = \frac{1}{2} * b * (b+7)\\120 = b(b+7)\\120 = b^2+7b\\b^2+7b-120 = 0\\b^2+15b-8b-120 = 0\\b(b+15)-8(b+15) = 0\\(b+15)(b-8) = 0\\Now\\b+15 = 0 => b=-15\\b-8 = 0 => b = 8[/tex]
As the length cannot be negative,
Base = 8 cm
Height = b+7 = 8+7 =15 cm
Keywords: Triangle, base
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