3D Applications of Pythagorean Theorem Warmup

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: c² = a² + b².

Front

In which field is the Pythagorean Theorem essential?

Back

Engineering, Architecture, Navigation, Surveying.

Front

What is the approximate length of AF if AF = 7?

Back

7

Front

What is the approximate width of the base if the options are 7 ft, 5 ft, 3 ft, 2 ft and the answer is 2 ft?

Back

2 ft.

Front

Solve for the distance of PQ if the options are 12.4, 19, 5, 13 and the answer is 13.

Back

13.

Front

If the distance from the ground to where the ladder touches the wall is 7 feet and the distance from the wall to the base of the ladder is 4 feet, what is the length of the ladder?

Back

√65.

Front

What is a right triangle?

Back

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

Front

What is the hypotenuse in a right triangle?

Back

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

Front

How do you find the length of the hypotenuse using the Pythagorean Theorem?

Back

To find the length of the hypotenuse (c), use the formula: c = √(a² + b²), where a and b are the lengths of the other two sides.

Front

What is the relationship between the sides of a 3-4-5 triangle?

Back

In a 3-4-5 triangle, the lengths of the sides are in the ratio 3:4:5, which satisfies the Pythagorean Theorem.