8.02 Special right triangles

Lesson

Practice

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

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

Easy

< 1min

Consider the triangle shown below.

Medium

1min

Consider the triangle below.

Medium

4min

Outcomes

G.TR.4

The student will model and solve problems, including those in context, involving trigonometry in right triangles and applications of the Pythagorean Theorem.

G.TR.4d

Solve problems using the properties of special right triangles.

G.TR.4e

Solve for missing lengths in geometric figures, using properties of 45Â°-45Â°-90Â° triangles, where rationalizing denominators may be necessary.

G.TR.4f

Solve for missing lengths in geometric figures, using properties of 30Â°-60Â°-90Â° triangles, where rationalizing denominators may be necessary.