3 years ago

WILL GIVE BRAINLIEST

Mathematics

2 answers:

Amanda [17]3 years ago

7 0

Answer:

12 m

Step-by-step explanation:

iVinArrow [24]3 years ago

5 0

Answer:

12 m

Step-by-step explanation:

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

A = 1/2bh . . . . . b represents the base; h represents the height

We are told that the height is 5 m less than the base, so we have ...

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

84 = b(b-5) . . . . . . . . multiply by 2

We want two factors of 84 that differ by 5. The factors are ...

84 = 1·84 = 2·42 = 3·28 = 4·21 = 6·14 = 7·12

The relevant factors are 7 and 12, so now we know b-5 = 7 and b = 12.

The length of the base is 12 m.

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