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vladimir1956 [14]
3 years ago
15

Classify the triangle based on the side lengths 9, 40 and 41.

Mathematics
1 answer:
artcher [175]3 years ago
8 0

Answer: right triangle

Step-by-step explanation: 9, 40, and 41 are examples of Pythagorean triples.

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Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

KJ^2=KM^2+MJ^2

KJ^2=6^2+3^2

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Now we will take positive square root on both sides:

\sqrt{KJ^2}=\sqrt{45}

KJ=\sqrt{9\cdot 5}

KJ=3\sqrt{5}

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