mm2g1. students will identify and use special right triangles
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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.
MM2G1a. 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.
MM2G1a. 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??
MM2G1a. 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.
MM2G1a. 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??
MM2G1a. 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.
MM2G1a. 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 =
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 =
HOMEWORK!!HOMEWORK!!
Pg. 153 – 154: 1 – 22 ALLPg. 153 – 154: 1 – 22 ALL
DRAW FIGURES AND
SHOW WORK FOR CREDIT!!
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