Understand the Pythagorean Theorem
What is the length of side "a" rounded to the nearest tenth of a centimeter when the known lengths are 12.9 cm, and 15.3 cm?
The missing length of the leg is 8.2 cm.
When given the lengths of 6 cm, 10 cm, and 8 cm, is the triangle a right triangle?
Yes, this is a right triangle because 100=100.
A wall 12 feet long makes a corner with a wall that is about 14 feet long. The other ends of the walls are about 18.44 feet apart. Do the walls form a right angle?
Yes, the walls do form a right angle because 340 ft =340.0336 ft.
Find the distance between points C and D, when the points are C(1,2), and D(2,-1). Round your answer to the nearest hundredth.
The distance between C and D is about 3.16 units.
What is the hypotenuse of the right triangle when the length of the legs are 36 ft, and 15 ft?
The length of the hypotenuse is 39 ft.
When given the lengths of 8 in, square root of 28 in, and square root of 26 in, is the triangle a right triangle?
No, this is not a right triangle because 54 inches does not equal 64 inches.
A stainless steel patio heater is shaped like a square pyramid. The length of one side of the base is 19.8 inches. The slant height is 92.8 inches. What is the height of the heater? Round your answer to the nearest tenth of an inch.
The height of the heater is about 92.3 inches.
Find the perimeter of triangle PQR. When P(-5,-2), Q(2,-2), and R(-1,3). Round your answer to the nearest hundredth.
The perimeter of the triangle is 19.23 units.
What is the length of the unknown leg of the right triangle when the hypotenuse is 35.25 cm, and the length of the other leg is 11.25 cm? Rounded to the nearest tenth of a centimeter.
The length of the unknown leg is 33.4 cm.
Do the lengths 14.0 m, 20.8 m, and 15.5 m, make the triangle a right triangle?
No, these lengths do not make this triangle a right triangle because 436.25 m, does not equal 432.64 m.
Felipe is making triangles for a stained glass window. He made the design shown, but wants to change it. Felipe wants to move the purple triangle to the corner. The purple piece has side lengths of 4.5 inches, 6 inches, and 7 inches. Can the purple piece be moved to the corner?
No, Felipe cannot move the purple triangle to the corner because 56.25 inches does not equal 49 inches.
What is the length of the shortcut in meters for PQ, when Q(40,85)? Round your answer to the nearest tenth of a meter.
The length of the shortcut is about 93.9 meters.
Find the length of the unknown leg of the right triangle when one of the legs length is 12.75 m, and the hypotenuse is 37.25 m?
The length of the missing leg is 35 m.
When given the lengths of 6 ft, 3 ft, and 4 ft, is this triangle a right triangle?
No, this is not a right triangle because 25 ft does not equal 36 ft.
What is the length of the rectangular plot when given the lengths 325 feet, and 300 feet?
The length of the rectangular plot is 125 feet.
Find the distance between A(1,5) and B(5.5,9.25). Round your answer to the nearest tenth.
The distance between A and B is about 6.2 units.
What is the length of the hypotenuse of the triangle when x=15? When the leg lengths are (4x+4) and (3x.) Round your answer to the nearest tenth of a unit.
The hypotenuse is about 78.2 units.
Can the sides of a right triangle have lengths of 5, 15 and the square root of 250?
Yes, because if you solve this 250=250.
What is the longest poster you could fit in the box, when given the lengths of 20 in, 8 in, and 12 in? Express your answer to the nearest tenth of an inch.
The longest poster you can fit in the box is 24.6 inches long.
EFG and HIJ have the same perimeter and side lengths. The coordinates are E(6,2), F(9,2), G(8,7), H(0,0), and I (0,3). What are the possible coordinates of point J?
The possible coordinates for J are (5,2) and (-5,2)