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vladimir2022 [97]
3 years ago
9

The table needs to have a 90 degree angle the three sides are 6 inches 8 inches and 9 inches can it fit

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

It can't fit.

Step-by-step explanation:

If it has a right angle then c^2 = a^2 + b^2 where c = the longest side.

c^2 = 9^2 = 81

a^2 + b^2 = 6^2 + 8^2 = 100

- so It cant have a right angle.

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The length of the unknown sides of the triangles are as follows:

CD = 10√2

AC = 10√2

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AB = 10

<h3>Triangle ACD</h3>

ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.

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a and b are the other 2 legs

lets use trigonometric ratio to find CD,

cos 45 = adjacent / hypotenuse

cos 45 = CD / 20

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20² - (10√2)² = AC²

400 - 100(2)  = AC²

AC² = 200

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<h3>Triangle ABC</h3>

ΔABC is a right angle triangle too. Therefore,

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Using trigonometric ratio,

cos 45 = BC / 10√2

BC = 10√2 × cos 45

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(10√2)² - 10² = AB²

200 - 100 = AB²

AB² = 100

AB = 10

learn more on triangles here: brainly.com/question/24304623?referrer=searchResults

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