8.1 - 8.3

Front

Will these line segments form a triangle?

Back

No, the line segments do not satisfy the triangle inequality theorem.

Front

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

Back

192 km

Front

Find the measure of the missing angle if one angle is 90° and another is 50°. What is the missing angle?

Back

The missing angle is 50°.

Front

Determine if it is possible to form a triangle with the given side lengths: 7 yd, 8 yd, 9 yd.

Back

Yes, these side lengths satisfy the triangle inequality theorem.

Front

Solve for x in the equation: 2x + 4 = 28.

Back

x = 12.

Front

What is the triangle inequality theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If the angles of a triangle are 30°, 60°, and x°, what is the value of x?

Back

x = 90°.

Front

What is the formula for calculating the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, it is a right triangle (5² + 12² = 13²).

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle with all sides of different lengths.