Math 9- Triangle Similarity

Mathematics 9

Fourth Quarter​

By Suzette Mae Pollenza

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Special Right Triangles

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REVIEW

Multiple Choice

Which of the following is NOT true about Right triangles?

• Right triangles have 1 or more 90 degrees angle.

• The longest side is called hypotenuse.

• The other sides are called legs.

Multiple Choice

How to get the hypotenuse of the 45-45-90 Special Right Triangle?

• Multiply the hypotenuse by $$\sqrt[]{2}$$  

• Multiply the leg by $$\sqrt[]{2}$$  

• Divide the leg by $$\sqrt[]{2}$$  

• Divide the hypotenuse by $$\sqrt[]{2}$$  

Multiple Choice

In 30-60-90 Special Right triangle, how to get the hypotenuse?

• Multiply the shorter leg by $$\sqrt[]{3}$$  

• Multiply the shorter leg by 2.

• Divide the hypotenuse by 2.

• Multiply the longer leg by $$\sqrt[]{3}$$  

Multiple Choice

Find the value of x.

• $$\sqrt[]{2}$$  

• 5

• 5 $$\sqrt[]{2}$$  

Multiple Choice

Solve for x.

• 4 $$\sqrt[]{3}$$  

• 4

• 8

Multiple Choice

Solve for y.

• $$\sqrt[]{3}$$  

• 4

• 8

Multiple Choice

In Median Theorem, the median to the hypotenuse of a right triangle is ______ as long as the hypotenuse.

• twice

• thrice

• one half

• double

Multiple Choice

How long is the altitude of an equilateral triangle which sides are 24cm each in length?

• 12

• 12 $$\sqrt[]{3}$$  

• 48

Other theorems on Right Triangles

Learning Targets: 

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• I can define the Pythagorean theorem. 

• I can prove the Pythagorean theorem. 

• I can solve problems that involve right triangles. 

Mathematics 9

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The median of a triangle is a line drawn from one of the vertices to the mid-point of the opposite side. In the case of a right triangle, the median to the hypotenuse has the property that its length is equal to half the length of the hypotenuse

Mathematics 9

The Median Theorem