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7. Right Triangles
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United States of AmericaFL
Grade 8

7.03 Converse of Pythagorean theorem

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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

MA.8.GR.1.3

Use the Triangle Inequality Theorem to determine if a triangle can be formed from a given set of sides. Use the Pythagorean Theorem to determine if a right triangle can be formed from a given set of sides.

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