Using the Pythagorean Theorem
Can you form a right triangle with the three lengths given? Show your work. 3, 4, 5
Yes; they are Pythagorean triples! (3 x 3) + (4 x 4) = 25 = (5 x 5)
Use the Pythagorean theorem to find the missing side of the right triangle. Leg 1 = 15 cm Hypotenuse = ? Leg 2 = 8cm
Hypotenuse = 17 cm
A square table has a side length of 1.2m. What is the perimeter of the table?
4.8m
3+-5=?
-2
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)
Use the Pythagorean theorem to find the missing side of the right triangle. Leg 1 = 6 m Leg 2 = 8 m Hypotenuse = ?
Hypotenuse = 10 m
If a house block is 16m wide by 30m deep, what is the area of the block?
480m2
-3 x -4 = ?
12
Formula for area of a circle is ?
pi x r squared
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)
Use the Pythagorean theorem to find the missing side of the right triangle. Leg 1 = 24 mm Hypotenuse = ?Leg 2 = 10 mm
Hypotenuse = 26 mm
The following shape has lengths of 20cm, 33cm, 150mm and 25cm. What is the perimeter in cm?
93cm
A gardener wants to brace a gate by adding a diagonal strip of wood between two horizontal strips. The two horizontal strips are 4m apart from each other and 6m long. How long should the diagonal strip of wood be?
(4 x 4) + (6 x 6) = 52 = (c x c) Sq. Root of 52 = 7.21m
Prime Minister of Australia is?
Albo (Anthony Albanese)
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)
Use the Pythagorean theorem to find the missing side of the right triangle. Leg 1 = 7 cm. Hypotenuse = ? Leg 2 = 5.7 cm
Ans: Correct to 2 dp
Hypotenuse = 9.03 cm
Draw a right triangle with a hypotenuse of 20 m.
Legs should be 12 and 16 m.
A window frame is constructed correctly if the timber meets at a right angle. The diagonal length of a window frame is measured to be 87cm. If the legs are 63cm and 60cm, has the frame been made correctly?
Show working
yes, Square root of 632 + 602 = 87
23+4x5 =
43
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.
Use the Pythagorean theorem to find the missing side of the right triangle. Side 1 = Square root of 25 Hypotenuse = ? Side 2 = Square root of 121
Hypotenuse = 146
Subtract the integers
-18+10-(-22)
14
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
6a/3 + 4 = 8
What is the value of "a"
2