Pythagorean Theorem with Decimal Side Lengths | Math with Mr. J

What is the formula for the Pythagorean Theorem?

• a + b = c

• a² + b² = c²

• a * b = c

• a² - b² = c²

In a right triangle, if the lengths of the two legs are 6.7 ft and 15.2 ft, what is the first step to find the length of the hypotenuse using the Pythagorean Theorem?

• Add the lengths of the legs.

• Multiply the lengths of the legs.

• Square each leg length and add them together.

• Subtract the smaller leg length from the larger leg length.

What is the sum of the squares of the two legs (6.7 ft and 15.2 ft) in the example problem?

• 275.93

• 231.04

• 44.89

• 20.9

What is the approximate length of the hypotenuse, rounded to the nearest tenth, if the sum of the squares of the legs is 275.93?

• 16.5 ft

• 16.6 ft

• 17.0 ft

• 16.0 ft

In a right-angled triangle, if 'a' and 'b' are the lengths of the two shorter sides (legs) and 'c' is the length of the longest side (hypotenuse), which equation correctly represents the Pythagorean theorem?

• a - b = c

• a + b = c

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

A right triangle has one leg measuring 8.3 meters. What is the square of this leg's length?

• 68.89 square meters

• 16.6 square meters

• 83 square meters

• 688.9 square meters

The hypotenuse of a right triangle is 12.6 meters long. What is the square of the hypotenuse's length?

• 126 square meters

• 25.2 square meters

• 158.76 square meters

• 144 square meters

After squaring the known sides of a right triangle, the equation becomes 68.89 + b^2 = 158.76. What is the value of b^2?

• 89.87

• 227.65

• 90.00

• 158.76