Question

The height of a triangle is 7m less than its base. The area of the triangle is 72m². How long is the base? 

          The height of a triangle is 7m less than its base. The area of the triangle is 72m². How long is the base?

Added by Hannah J.

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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The height of a triangle is 7m less than its base. The area of the triangle is 72m². How long is the base?
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Transcript

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00:01 Okay, i am told the height of this triangle is six more than twice the base.
00:06 Let's draw the triangle then, not to scale.
00:15 So here the base, i'll call it x.
00:20 And the height then here, this height will be twice x plus six.
00:29 Six more than twice the base, six more than twice x.
00:34 So that's my drawing.
00:36 Now, the area of a triangle is one half base times height...
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