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Mekhanik [1.2K]
2 years ago
9

The areas of the squares created by the side lengths of the triangle are shown. Which best explains whether this triangle is a r

ight triangle? 9sqrt 12sqrt 15sqrt

Mathematics
2 answers:
nikitadnepr [17]2 years ago
8 0

Answer:

Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because 9+12\neq 15

Step-by-step explanation:

The complete question in the attached figure

we know that

If the length sides of a triangle, satisfy the Pythagorean Theorem, then is a right triangle

c^2=a^2+b^2

where

c is the hypotenuse (the greater side)

a and b are the legs

In this problem

The length sides squared of the triangle are equal to the areas of the squares

so

c^2=15\ in^2  

a^2=12\ in^2

b^2=9\ in^2

substitute

15=12+9

15=21 ----> is not true

so

The length sides not satisfy the Pythagorean Theorem

therefore

Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because 9+12\neq 15

REY [17]2 years ago
8 0

Answer:

B

Step-by-step explanation:

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Step-by-step explanation:

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