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spayn [35]
3 years ago
10

Anyone know the answer???

Mathematics
2 answers:
pav-90 [236]3 years ago
4 0

Answer:

No, those sides do not make a right triangle.

i know that no links are allowed but this helped me solve those types

https://www.omnicalculator.com/math/right-triangle-side-angle

liq [111]3 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

This is a right triangle, so the Pythagorean Theorem applies.

Step 1: <u>Define.</u>

The Pythagorean Theorem states that the legs of the triangle, squared, must be equal to the hypotenuse, squared.

The legs of a right triangle are the sides that make the right angle.

The hypotenuse is the longest side.

formula-a^2+b^2=c^2

legs- a,b

hypotenuse-c

Step 2: <u>Solve.</u>

6 in. and 8 in. are the legs of the triangle.

10 in. is the hypotenuse.

Now, we simply plug the numbers into the formula.

6^2+8^2=10^2

36 + 64 = 100

If the legs of the triangle, squared, is equal to the hypotenuse, squared, then the side lengths can make a right triangle.

36 + 64 = 100.

I, therefore, believe that the side lengths can make a right triangle.

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Identify the perimeter and area of a square with diagonal length 11in. Give your answer in simplest radical form. HELP PLEASE!!
Nataliya [291]

Answer:

  • Perimeter = 22*sqrt(2)
  • Area = 60.5 inches
  • D

Step-by-step explanation:

Remark

You need 2 facts.

  1. A square has 4 equal sides.
  2. It contains (by definition) 1 right angle but since we are not including and statement about parallel sides, it needs 4 right angles.

That means you can use the Pythagorean Theorem.

If one side of a square is a then the 1 after it is a as well.

Formula

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  • 2a^2 = c^2

Givens

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Solution

  • 2a^2 = 11^2
  • 2a^2 = 121                    Divide by 2
  • a^2 = 121/2                  Take the square root of both sides
  • sqrt(a^2) = sqr(121/2)    
  • a = 11/sqrt(2)                Rationalize the denominator
  • a = 11 * sqrt(2)/[sqrt(2) * sqrt(2)]
  • a = 11 * sqrt(2) / 2

<em><u>Perimeter</u></em>

P = 4s

  • P = 4*11*sqrt(2)/2
  • P = 44*sqrt(2)/2
  • P = 22*sqrt(2)

You don't need the area. The answer is D

<em><u>Area</u></em>

  • Area = s^2
  • Area = (11*sqrt(2)/2 ) ^2
  • Area = 121 * 2 / 4
  • Area = 60.5


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