Topics
10. Right Triangles & Trigonometry
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United States of AmericaUT
Math II

10.01 The Pythagorean theorem and its converse

Lesson
Practice

Interactive practice questions

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

 

The image is a graphical representation of a right triangle with a right angle at the bottom left. The sides of the triangle are labeled with the letters $X$X, $Y$Y, and $Z$Z. The hypotenuse is labeled $X$X, the vertical leg is labeled $Z$Z, and the base or horizontal leg is labeled $Y$Y. At the bottom left corner, where the vertical and horizontal legs meet at a right angle, there is a square outline which is colored in a light blue to indicate the right angle.

$X$X

A

$Y$Y

B

$Z$Z

C
Easy
< 1min

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?

Easy
1min

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

Easy
1min

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?

Easy
< 1min
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Outcomes

II.G.SRT.8

Use trigonometric ratios and the pythagorean theorem to solve right triangles in applied problems.

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