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I NEED HELP CPhill

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so the question is The altitude of a triangle is 5 less than its base. The area of the triangle is 42 square inches. Find its base and altitude i really dont understand help xoxoxo

Apr 5, 2022

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We have a random triangle with base x, and height x - 5. Remember, the area of a triangle is base*height / 2, in this case base*height = 84.

Plugging in the values, we have (x)(x - 5) = 84. Opening parenthesis we have \(x^2 - 5x = 84\). Factoring we have (x - 12)(x + 7) = 0

Taking the positive value of x from -7 and 12, we have x = 12. Meaning that the height is 7.

Thus, the base = 12 units, the height = 7 units.

Apr 5, 2022

#1
+1619
+1

We have a random triangle with base x, and height x - 5. Remember, the area of a triangle is base*height / 2, in this case base*height = 84.

Plugging in the values, we have (x)(x - 5) = 84. Opening parenthesis we have \(x^2 - 5x = 84\). Factoring we have (x - 12)(x + 7) = 0

Taking the positive value of x from -7 and 12, we have x = 12. Meaning that the height is 7.

Thus, the base = 12 units, the height = 7 units.

proyaop Apr 5, 2022