Right Triangles
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High School Geometry
High School Geometry
Math

 Name _____________________________ Date ___________________ (Key 1 - Answer ID # 0632317)
1.

A regular hexagon is composed of 12 congruent 30-60-90 triangles. If the length of the hypotenuse of one of those triangles is 18, find the perimeter of the hexagon.

2.

A baseball diamond is in the shape of a square, with the distance between consecutive bases of 90 feet. The second baseman wants to make an out at home plate. How far must he throw the ball?

3.

Triangle ABC is a 45°-45°-90° triangle with C at the right angle. If AC = 5, find BC.
 10 5 5 10 5

4.

In right triangle ABC, the length of leg BC is 4. If the area of the triangle is 24, find the measure of A.
 30 45 60 90

5.

In ABC, the ratio of AB:BC:CA = 1:2:. Find the measure of A.
 45 30 90 60

6.

In ABC, mA = 30 and mC = 90. If the length of BC is five more than one-fourth of AB, find the length of the longer leg of the triangle.

7.

In regular hexagon ABCDEF, AB = 20. Find AD and CE.

8.

In triangle ABC, the ratio of the measure of angle A to angle B is 1:3. The measure of angle C is half the sum of the measures of angles A and B. If AC = 8, find BC.
 4 8 4 4 8

Right Triangles
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