Can you form a right triangle with the three lengths given? Show your work.
20, 21, 29
Yes; they are Pythagorean triples!
(20 x 20) + (21 x 21) = 841 = (29 x 29)
100
Use the Pythagorean theorem to find the missing side of the right triangle.
Leg 1 = 15 cm
Hypotenuse = 17 cm
Leg 2 = ?
Leg 2 = 8 cm
100
Draw a right triangle with a hypotenuse length of square root of 5.
The triangle should have legs of 1 and 2.
100
Plot these two points and connect them with a line segment: (0,2) and (2,1).
What is the length of the line segment?
(1 x 1) + (2 x 2) = 5 = (c x c)
Sq. Root of 5 = 2.23
100
What is the formula for area of a triangle?
(L x W) / 2
200
Can you form a right triangle with the three lengths given? Show your work.
7, 11, 12
No, they are not Pythagorean triples!
(7 x 7) + (11 x 11) = 170 (not 144)
200
Use the Pythagorean theorem to find the missing side of the right triangle.
Leg 1 = 6 ft
Leg 2 = 8 ft
Hypotenuse = ?
Hypotenuse = 10 ft
200
Draw a right triangle with a hypotenuse length of 2 x sq. root of 5.
The triangle should have legs of 2 and 4.
200
Plot these two points and connect them with a line segment: (0,2) and (3, 0).
What is the length of the line segment?
(3 x 3) + (2 x 2) = 13 = (c x c)
Sq. root of 13 = 3.63
200
What is the length of the line segment that connects points (0,0) and (2,4)?
Sq. Root of 20 = 2 x Sq. root of 5
300
Can you form a right triangle with the three lengths given? Show your work.
10, 2 x square root of 11, 12
Yes, they are Pythagorean triples!
(10 x 10) + ((2 x square root of 11) x (2 x square root of 11)) = 144 = (12 x 12)
300
Use the Pythagorean theorem to find the missing side of the right triangle.
Leg 1 = 24 mm
Hypotenuse = 26 mm
Leg 2 = ?
Leg 2 = 10 mm
300
Draw a right triangle with a hypotenuse length of 3 x sq. root of 5.
The triangle should have legs of 3 and 6.
300
A gardener wants to brace a gate by adding a diagonal strip of wood between two horizontal strips. The two horizontal strips are 4 feet apart from each other and 6 feet long.
How long should the diagonal strip of wood be?
(4 x 4) + (6 x 6) = 52 = (c x c)
Sq. Root of 52 = 7.21 ft.
300
What is the length of the line segment that connects points (-2,0) and (0,2)?
Sq. root of 8 = 2 x sq. root of 2
400
Can you form a right triangle with the three lengths given? Show your work.
28, 45, 53
Yes, they are Pythagorean triples!
(28 x 28) + (45 x 45) = 2,809 = (53 x 53)
400
Use the Pythagorean theorem to find the missing side of the right triangle.
Leg 1 = 7 in.
Hypotenuse = 9 in.
Leg 2 = ?
Leg 2 = approximately 5.7 in.
400
Draw a right triangle with a hypotenuse of 20 m.
Legs should be 12 and 16 m.
400
Plot the following points and connect them to form a square: A = (0,4) B=(4, 6) C=(6, 2) and D=(2,0)
What is the area of square ABCD?
20 sq. units
400
What is the length of the line segments that connects points (0,-3) and (3,3)?
Sq. root of 45 = 3 x sq. root of 5
500
Can you form a right triangle with the three lengths given? Show your work.
9, square root of 10, 10
No, they are NOT Pythagorean triples!
(9 x 9) + (sq. root of 10 x sq. root of 10) = 91, not 100.
500
Use the Pythagorean theorem to find the missing side of the right triangle.
Side 1 = 5 m
Hypotenuse = square root of 146 m
Side 2 = ?
Side 2 = 11 m
500
Draw a right triangle with a hypotenuse of 4 x sq. root of 5.
Legs should be 4 and 8.
500
Plot the following points and connect them to form a square: A = (0,4) B=(4, 6) C=(6, 2) and D=(2,0)
What is the length of line segment AB?
( 2 x 2) + (4 x 4) = 20 (c x c)
Sq. root of 20 = 4.47 units
500
DAILY DOUBLE!!
Give the coordinates of a point that is a distance of 3 x sq. root of 5 from point (8, -2).