Mathematics
Carolinaforce74
34

The height of a triangle is 4 m less than its base. The area of the triangle is 48 m2. Find the length of the base. 7 m 8 m 11 m 12 m

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(1) Answers
LarissaZerbe

If we call the base x, then we can call the height (x - 4). The area of a triangle is (base × height)/2, so we can put that into an equation: (x × (x - 4))/2 = 48 (x² - 4x)/2 = 48 × 2 x² - 4x = 96 - 96 x² - 4x - 96 = 0 (factorise) (x - 12)(x + 8) x = 12 or x = -8, and you can't have negative lengths, so the answer is 12m. I hope this helps! I did a few things without explaining them so let me know if you would like me to go over in more detail :)

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