Benchmark review day 3

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

How do you calculate the length of a ramp represented as a right triangle?

Back

Use the Pythagorean Theorem: if the ramp is the hypotenuse, and the other two sides are the height and base, calculate using a² + b² = c².

Front

What is the formula for finding the distance between two points (A and B) on a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

If a water tower starts with 2,030 gallons and leaks 40 gallons per hour, how do you represent the water left after x hours?

Back

Water left = 2030 - 40x.

Front

How do you represent the amount of water filling a pond at a rate of 350 gallons per hour after x hours?

Back

Water in pond = 350x.

Front

What inequality represents when the water tower has less water than the pond?

Back

2030 - 40x < 350x.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.

Front

What does it mean for a triangle to be obtuse?

Back

An obtuse triangle has one angle that is greater than 90 degrees.

Front

What does it mean for a triangle to be acute?

Back

An acute triangle has all angles less than 90 degrees.