Squares & Square Roots
Estimate Square Roots
Find a Missing Side of a Triangle
Use Pythagorean Theorem in Problem Solving
100

The square of 8

What is 64

100

Estimate the square root of 26.

What is 5.1

100

In a right triangle with legs of length 3 units and 4 units, what is the length of the hypotenuse?

What is 5

100

Apply the Pythagorean theorem to find the missing side in a right triangle with legs of length 5 units and 12 units.

What is 13

200

Calculate the square root of 100 using prime factorization

What is 2x2x5x5

200

Approximately what is the square root of 150 to the nearest whole number?

What is 12

200

If one leg of a right triangle is 5 units and the hypotenuse is 13 units, what is the length of the other leg?

What is 12

200

Solve for the missing side in a right triangle with legs of length 9 units and 12 units using the Pythagorean theorem.

What is 15

300

Estimate the square root of 7

What is 2.5

300

Estimate the square root of 200 to one decimal place.

What is 14.1

300

What is the missing side length in a right triangle with legs of length 6 units and 8 units?

What is 10

300

How can the Pythagorean theorem help in determining if a triangle is a right triangle or not?

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

400

Estimate the square root of 80

What is 8.9

400

Estimate the square root of 500 to the nearest tenth

What is 22.4

400

In a right triangle, if one leg is 12 units and the hypotenuse is 13 units, what is the missing side?

What is 5

400

A ladder is leaning against a wall. If the ladder is 25 feet long and the base is 24 feet from the wall, how high up the wall does the ladder reach?

What is 7 ft