Special

Right Triangles

Practice Problems


1. Draw an equilateral triangle with sides 10 units long. Draw an altitude. On your diagram, show the length of each segment of the base.

a. Use the Triangle Theorem to the the length of the altitude.

b. Use the Pythagorean Theorem to find the length of the altitude.

2. Using the diagram to the right, Prove the Isosceles Theorem using the Pythagorean Theorem.

 

 

3.The measure of the shorter leg of a triangle is s. The measure of the longer leg is __________, and the measure of the hypotenuse is ____________.

4. If the measure of a leg of an isosceles triangle is l, then the measure of the hypotenuse is _____________.

5. Find the length of the diagonal in the square below:


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