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5 in
Q
2 in
R
PQ =
Using Pythagorean theorem

5 in Q 2 in R PQ = Using Pythagorean theorem-example-1

2 Answers

5 votes

Answer:

PQ^2 = QR^2 + PR^2

PQ^2 = 2^2 + 5^2

PQ^2 = 29

PQ = square root (29)

PQ = 5.3851648071

Explanation:

User Relascope
by
7.9k points
2 votes

By applying Pythagorean's theorem to right-angled triangle PQR, the length of segment PQ is equal to
√(29) units.

In Mathematics and Geometry, Pythagorean theorem is an Euclidean postulate that can be modeled or represented by the following mathematical equation:


c^2=a^2+b^2

Where:

  • a is the opposite side of a right-angled triangle.
  • b is the adjacent side of a right-angled triangle.
  • c is the hypotenuse of a right-angled triangle.

By applying Pythagorean's theorem to right-angled triangle PQR, the length of segment PQ can be calculated as follows;


PQ^2=QR^2+PR^2\\\\PQ^2=2^2+5^2\\\\PQ^2=4 + 25\\\\PQ=√(29)units.

User Kuffel
by
8.5k points

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