Ch. 4 Flashcard Review

Front

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

Back

32 feet

Front

Solve for the hypotenuse (h) in a right triangle with legs measuring 15 and 20.

Back

22.87

Front

Solve for x in the equation 2x + 5 = 39.

Back

17.29

Front

How would you classify a triangle with one 90-degree angle and two sides of different lengths?

Back

Right scalene

Front

Solve for x in the equation 3x - 4 = 95.

Back

33.74

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size; corresponding angles are equal and corresponding sides are proportional.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the definition of an isosceles triangle?

Back

A triangle with at least two sides of equal length.

Front

What is the definition of a right triangle?

Back

A triangle that has one angle measuring 90 degrees.