Exam 4: Triangles

In , . If AC = 6 and BC = 8, find AB .

If in , then .

In the figure, and . If , , and , find the perimeter (the sum of lengths of all four sides)of quadrilateral XYZW .

The angle shown measures 60°. How would you construct an angle that measures 30°?

has a perimeter of 84 cm. If cm and ST = 25 cm, find the angle of greatest measure in .

Where a, b, and c are the lengths of sides, which triangle cannot be drawn?

In the figure, . If and , find .

Given that is congruent to , , , and , find .

For isosceles triangle XYZ with and point W on base , is an altitude. If XZ = 12 and YW = 8, find XY .

Where c is the length of the hypotenuse and a and b are the lengths of the legs, what equation relates these lengths?

Suppose that bisects right angle ABC . In turn, bisects . Find .

To construct an isosceles triangle with vertex angle A and sides of length a, what arc would you draw first?

In (not shown), . Which statement is not necessarily true?

One of the methods for proving that two triangles are congruent is abbreviated AAA.

For , is an exterior angle. Which of the following must be true?

In isosceles triangle RST , . If , , and the perimeter of is 36, find the value of x.

For any real numbers a and b for which , there is a positive number p for which .

The perimeter P of an isosceles triangle with a leg of length a and base of length b is given by .

Find the measure of each interior angle of a regular polygon with 12 sides.

In a right triangle, the length of the hypotenuse is 13 inches and the length of one of the legs is 12 inches. Find the length of the other leg.