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Geometry Enrichment

A Trig

B Circles

C Triangles

D Quadrilaterals

A: Trig

1.) In right triangle ABC, angle C is the right angle, side a = 12 and side b = 16.

(a) Find the length of side c. Answer must be in simplest radical form.

(b) Find the sine, cosine, and tangent ratios for angle A. Do not simplify your answers. Leave your answer in simplest radical form with a rational denominator.

2.) In right triangle JAC, angle A is the right angle, side j = 3 and side a = 5. Draw and label your triangle!

(a) Use Pythagorean Theorem to find side c.

(b) Find the sine, cosine, and tangent ratios for angle J.

3.) In right triangle TOM, angle M is the right angle; t = 22 and o = 15. Draw and label your triangle!

(a) Use Pythagorean Theorem to find side m. Leave your answer as a radical.

(b) Find the sine, cosine, and tangent ratios for angle O. Answers must be left in simplest radical form with a rational denominator. Do not simplify your fractions!

6.) In triangle JAC, angle A is the right angle. The measure of ................
................

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