3 years ago

Use the Pythagorean Theorem to

Mathematics

1 answer:

Lunna [17]3 years ago

3 0

Answer: This is not a right triangle.

the squares of the two shorter sides must add to the equal the square of the longest side.

a² + b² = c²

Step-by-step explanation:

5² + 5² ?=? 12²

25 + 25 ≠ 144

50 ≠ 144 So this is not a right triangle.

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The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find

julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet

Using Pythagoras Theorem

$Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49$

This results into:

$2l^2-l^2+14l-18l-81+49=0$

$l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0$

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

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3 years ago

Round each number to the nearest ten thousand and then subtracting

katrin [286]

Answer:

43,000

Step-by-step explanation:

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What's times what equals 30

mr Goodwill [35]

1 x30
2 x 15
3 x 10
5 x 6

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Ganezh [65]

Answer:

I need to know what question 1 is because we cant figure it out if you don't have 1)

Step-by-step explanation:

Postive

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The sum of three numbers is 123. The second number is 8 more than the first. The third number is 3 times the first. What are the

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Answer:

41 is my geuss

Step-by-step explanation:

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