Geometry Topic 5 Review

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If two sides of a triangle are 7 and 10, what are the possible lengths of the third side?

Back

3 < x < 17

Front

What is the definition of a circumcenter in a triangle?

Back

The circumcenter of a triangle is the point where the three perpendicular bisectors of the sides intersect.

Front

How do you find the perimeter of a triangle?

Back

The perimeter of a triangle is found by adding the lengths of all three sides.

Front

If AE = 2x + 5 and GE = 3, how do you solve for x?

Back

Set 2x + 5 = 3, then solve for x to get x = -1.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the relationship between the angles and sides of a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side.

Front

What is the definition of an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

How do you calculate the length of an altitude in a triangle?

Back

The length of an altitude can be calculated using the area of the triangle: Area = 1/2 * base * height.

Front

What is the definition of a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.