3 years ago

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.

Mathematics

1 answer:

zavuch27 [327]3 years ago

8 0

9514 1404 393

Answer:

base: 12 in

altitude: 7 in

Step-by-step explanation:

The formula for the area of a triangle is ...

A = 1/2bh

Filling in the given information, we have ...

42 = 1/2(b)(b -5)

b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form

(b -12)(b +7) = 0 . . . . factor

The only positive solution is b = 12

The base is 12 inches; the altitude is 7 inches.

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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.​

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.