MM2G1. Students will identify and use special right triangles.

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Presentation transcript:

MM2G1. Students will identify and use special right triangles. Standards MM2G1. Students will identify and use special right triangles. a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles.

MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles. Use the Pythagorean theorem to find the missing side of each right triangle. Express your answers as a radicals in simplest form.

MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles. What do you notice about the legs of each triangle? These triangles are called ________________ triangles. They are also known as 45-45-90 triangles because: What do you notice about the hypotenuse with respect to each leg??

MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles. Use the Pythagorean theorem to find the missing side of each right triangle. Express your answers as a radicals in simplest form.

What do you notice about the legs of each triangle? MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles. What do you notice about the legs of each triangle? These triangles are called 30-60-90 triangles because: What do you notice about the hypotenuse with respect to each leg??

MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles. In a 45-45-90 right triangle, the hypotenuse is _______ times as long as each leg.

ALWAYS FIND THE SHORTEST LEG FIRST!! MM2G1 a. Determine the lengths of sides of 30°-60°-90° triangles. b. Determine the lengths of sides of 45°-45°-90° triangles. In a 30-60-90 right triangle, the hypotenuse is _______ as long as the shorter leg, and the longer leg is ______ times as long as the shorter leg. ALWAYS FIND THE SHORTEST LEG FIRST!!

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable. 1) type of triangle: x =

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable. 2) type of triangle: x =

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable. 3) type of triangle: x =

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable. 4) type of triangle: x =

Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable. 5) type of triangle: x =

6) type of triangle: x = y = Determine if the triangle is a 45-45-90 triangle, or a 30-60-90 triangle. Then find the value of the variable. 6) type of triangle: x = y =

Pg. 153 – 154: 1 – 22 ALL HOMEWORK!! DRAW FIGURES AND SHOW WORK FOR CREDIT!!