Pythagorean Theorem
Calculating Side Lengths
? Random ?
Calculating Angle Theta
100

The formula for calculating a side length when the hypotenuse is given

a2 = c2 - b2

b2 = c2 - a2

100

The remaining side length of a right triangle with a hypotenuse of 5" and a given side length of 3"

4"
100

The total resistance of a series circuit with seven 13 ohm resistors.

91 ohms

100

Angle X in degrees

40 degrees

200

Pythagoras theorized that the hypotenuse of a right triangle was equal to this.

The square root of the sum of squares of the side lengths.

200

The hypotenuse of a right triangle with a given angle of 40 degrees and a side length opposite to the 40 degree angle measuring 6 feet.

9.33 feet

200

The total current flow of a series circuit that is supplied with 240 V and has 3 resistors with values of 22 ohms, 17 ohms, and 14 ohms. Round to the nearest hundredths place.

4.53 A

200

Angle if side A is 1.25 in. and side B is 2 in.

58 degrees

300

The hypotenuse of a right triangle with given lengths of 7in. and 11in. Rounded to the nearest hundredth.

13.04 in

300

The hypotenuse of a right triangle that has a given angle of 33 degrees and a side adjacent to the 33 degree angle that measures 47 inches. Round to the nearest whole inch.

56 inches

300

The formula for calculating inductive reactance.

XL = 2(pi)(f)(L)

300

The angle X in whole degrees if the side opposite to the angle has a length of 15.5 in. and the hypotenuse has a length of 32.5 in.

28 degrees

400

The remaining leg length of a right triangle where the hypotenuse is 15 ft long and one of the sides is 5 ft. Rounded to the nearest whole number.

14 ft

400

The remaining side length of a right triangle that has a given angle of 42 degrees, where the side opposite to the 42 degree angle is 170 units. Round to the nearest tenth of a unit.

188.8 units

400

The total power dissipated by a parallel circuit with a supply voltage of 208 V and 4 resistors with values of 23 ohms, 27 ohms, 25 ohms, and 31 ohms. Round to the nearest whole unit.

6609 W

400

The angle Y to the tenth of a degree if the side adjacent to the angle measures 21 ft and the hypotenuse is 25 ft.

32.9 degrees

500

These electrical quantities are used to represent different ohmic values and their vectors form a right triangle.

Impedance, Resistance, and Inductive Reactance

500

The perimeter of a right triangle that has a hypotenuse of 27 inches and a given angle of 45 degrees. Round to the nearest whole inch.

65 inches

500

The NEC table used to correct for ambient temperature that is based on 40 degrees Celsius.

310.15(B)(2)

500

The value of an unknown angle in whole degrees if the side opposite to the angle is 205.7 inches and the remaining side that is not the hypotenuse is 178.9 inches.

49 degrees