7.7 Solve Right Triangles Obj: Students will be able to use trig ratios and their inverses to solve right triangles.

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Presentation transcript:

7.7 Solve Right Triangles Obj: Students will be able to use trig ratios and their inverses to solve right triangles.

Solve a Right Triangle Solve a Right Triangle – Find the measure of all sides and angles Pythagorean Theorem Given: Two sides Find: Side length Trig Ratios Given: One side length & one acute angle Find: Side lengths Inverse Trig Ratios Given: Two side lengths Find: Angle measure

Inverse Trig Ratios

Inverse Sin Ratio

Example Use a calculator to approximate the measure of angle A.

Inverse Cos Ratio

Example Use a calculator to approximate the measure of angle A.

Inverse Tan Ratio

Example Use a calculator to approximate the measure of angle A.

Solve the Right Triangle Pythagorean theorem Trig ratios Inverse Trig Ratios

Solve the Right Triangle Pythagorean theorem Trig ratios Inverse Trig Ratios

Assignment Pg 485 #1, 4-18 even, 34, 43