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Irina-Kira [14]
2 years ago
12

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]2 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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What is the value of this expression when n approaches infinity?
topjm [15]

ANSWER

C. 35

EXPLANATION

The given expression is:

15 - 35 -  \frac{85}{n}  + 55 +  \frac{75}{2n}  +  \frac{15}{2 {n}^{2} }

As

n \to \:  \infty

\frac{k}{n}  \to0

where k is a constant.

This implies that,

15 - 35 -  \frac{85}{n}  + 55 +  \frac{75}{2n}  +  \frac{15}{2 {n}^{2} }  = 15 - 35 -  0 + 55 +  0+  0 =35

The correct answer is C

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Step-by-step explanation:

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Step-by-step explanation:

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Alisiya [41]

Answer:

x=58

Step-by-step explanation:

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2) You have to know that the box on the left-hand corner of the triangle means it's angle measure is 90 degrees

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If you liked my answer please mark it as the brainliest that would be much appreciated. Thanks! :D

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