Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.

A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

In the triangles, and .

Consider triangle WXY.

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?
Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.

Triangle KNM is shown.


Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.

Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.





2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees.

If triangle RST is an acute triangle, then m∠S must be
Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?
Triangle XYZ is isosceles. Angle Y measures a°.




Which statements regarding the diagram of ΔEBC are true? Select three options.
Based on the given angle measures, which triangle has side length measures that could be correct?
In the triangles, QR = DE and SR = FE.

is a perpendicular bisector of .

The side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.




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