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anzhelika [568]
3 years ago
11

A rectangular parcel of land is 90 ft wide. the length of a diagonal between opposite corners is 30 ft more than the length of t

he parcel. what is the length of the parcel?
Mathematics
1 answer:
snow_lady [41]3 years ago
4 0

solution:

One leg of the triangle is given 90ft. the other leg of the triangle is x, and the hypotenuse is given as x+30

According to Pythagoras,

C² = a² + b²

So,

(x +30) = x² + 90²

Use FOIL to expand the binomial:

x² + 60x + 900 = x² + 8100

60x = 7200

X = 7200/60

X = 120


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Given:
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I have attached an image of the tent. Since the height of the tent is also the height of the triangle, I will solve for the height of the triangle using Pythagorean theorem.

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