Activity 19 and 20 Homework

Front

What is the relationship between the lengths of the sides of a triangle?

Back

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

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor out perfect squares from under the radical and simplify accordingly.

Front

Solve for x: 2x + 4 = 12. What is x?

Back

x = 4.

Front

What is the area of a square with a side length of 5?

Back

Area = side × side = 5 × 5 = 25.

Front

If the area of one square is 369 and another is 81, what is the area of the missing square if the total area is 288?

Back

The area of the missing square is 288.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to isolate the variable on one side of the equation.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If x = 12, what is the value of 3x + 2?

Back

3(12) + 2 = 36 + 2 = 38.

Front

What is the Pythagorean theorem?

Back

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