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8.02 Special right triangles

Adaptive
Worksheet

Interactive practice questions

Use the Pythagorean theorem to find the exact length of the missing side, $c$c.

A right-angled triangle with a right angle at its base as indicated by a small square. The angle on the lower-left is labeled 45 degrees indicating its measure. The sides opposite and adjacent the 45-degree angle are both labeled 1 indicating their length. The hypotenuse, which is the side opposite the right angle, is labeled c.

Easy
1min

Consider the triangle shown below.

Easy
1min

Consider the triangle below.

Easy
4min
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Outcomes

G.N.Q.A.1

Use units as a way to understand real-world problems.*

G.N.Q.A.1.A

Use appropriate quantities in formulas, converting units as necessary.

G.SRT.C.5

Solve triangles.*

G.SRT.C.5.A

Know and use the Pythagorean Theorem and trigonometric ratios (sine, cosine, tangent, and their inverses) to solve right triangles in a real-world context.

G.MP1

Make sense of problems and persevere in solving them.

G.MP3

Construct viable arguments and critique the reasoning of others.

G.MP4

Model with mathematics.

G.MP5

Use appropriate tools strategically.

G.MP6

Attend to precision.

G.MP7

Look for and make use of structure.

G.MP8

Look for and express regularity in repeated reasoning.

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