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8.01 The Pythagorean theorem and its converse

Interactive practice questions

Which side of the triangle in the diagram is the hypotenuse?

$X$X

A

$Y$Y

B

$Z$Z

C

$X$X

A

$Y$Y

B

$Z$Z

C
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If $3$3 and $4$4 are the two smallest values in a Pythagorean triple, what is the largest value, $c$c, in the triple?

Using your knowledge of common Pythagorean triples , find the hypotenuse in a triangle with shorter side lengths $15$15 units and $36$36 units.

If $x$x, $y$y, and $z$z are three sides of a right triangle, will side lengths of $4x$4x, $4y$4y and $4z$4z make a right triangle as well?

Outcomes

GEO-G.SRT.8

Use sine, cosine, tangent, the Pythagorean Theorem and properties of special right triangles to solve right triangles in applied problems. ★

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