G.TR.4.g: Solve problems, including those in context, involving right triangles using the Pythagorean Theorem and its converse, including recognizing Pythagorean Triples.

Solve problems, including those in context, involving right triangles using the Pythagorean Theorem and its converse, including recognizing Pythagorean Triples.

Example Problems
A ‑foot ladder leans against a vertical wall. The base of the ladder is feet from the wall.
How high up the wall does the ladder reach?
A square tile measures 15 centimeters on each side.

What is the diagonal distance across the tile?
Write your answer as a decimal rounded to the nearest hundredth.
Aria runs 5 miles east and then a certain number of miles north.
She ends
13 miles away from her starting position.

How many miles north did Aria run?
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