Pythagorean Theorem-STAAR

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). It can be expressed as: a² + b² = c².

Front

What does 'hypotenuse' mean?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

If one side of a right triangle is 3 units and the other side is 4 units, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5 units.

Front

What is the formula to find the area of a right triangle?

Back

The area of a right triangle can be calculated using the formula: Area = (1/2) * base * height.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1 : √3 : 2.

Front

What does 'perpendicular' mean in geometry?

Back

Perpendicular refers to two lines or segments that intersect at a right angle (90 degrees).

Front

If the hypotenuse of a right triangle is 10 units and one side is 6 units, how do you find the other side?

Back

Use the Pythagorean Theorem: a² + 6² = 10²; a² + 36 = 100; a² = 64; a = 8 units.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What does 'further' mean in the context of geometry?

Back

In geometry, 'further' can refer to a greater distance or extent in a particular direction.

Front

What is the significance of drawing a picture in geometry problems?

Back

Drawing a picture helps visualize the problem, making it easier to understand relationships between different elements.