Solving
solve for c (2 d.p)
a = 22
b = 33
39.66
solve for c (2 d.p)
side a = 0.5
side b = 1.25
1.35
What is the formula for pythagoras theorem?
a2+b2=c2
Solve for C (2 d.p)
side a = 8
side b = 1.5
8.14
solve for b (2 decimal places)
a = 2.5
c = 5
4.33
solve for a (2 decimal places)
b = 4
c = 4
3
List 2 ways that you can identify the hypotenuse of a triangle.
1. Opposite the right angle
2. Longest side
solve for b (2 d.p)
c = 75
a = 48
57.63
Mia is drawing a path to connect the two ends of her garden. One side is 6 steps long, and the other side is 8 steps long. How many steps long will her path be if she makes it go directly across the garden?
10 steps
Sarah is building a ramp for her pet turtle. If the ramp's base is 9 cm and the hypotenuse is 15cm, what is the length of the ramp?
12cm
Can Pythagoras theorem be applied to any triangle?
- explain your answer.
No - it is only proven to work in right angled triangles.
Tim wants to put a diagonal wooden beam across the back of his bookshelf. If the bookshelf is 2m tall and 1.5m wide, how long does the wooden beam need to be?
2.5m
Sarah has a rectangular field that is 7 meters long and 4 meters wide. She wants to know the shortest distance from one corner to the opposite corner of the field. What is this distance?
28
A hiker climbs a steep path up the side of a cliff. The path is 150 m long and reaches a vertical height of 90 m.
How far is the horizontal distance covered?
120m
Explain how Pythagoras theorem works?
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Lisa is flying her kite. The kite string is 50 meters long, and the kite forms a right angle with the ground. If the kite's height above the ground is 30 meters, how far horizontally is Lisa from the point directly below the kite?
40m
Alex has a triangular sail for his toy boat. He knows the hypotenuse is 10 cm, and one of the other sides is 8 cm. What is the length of the third side?
6 cm
Alex is painting the wall of his room. He needs to reach the top corner, which is 10 feet above the floor. He stands 6 feet away from the wall. Can he use a 8-foot ladder, or does he need a longer one?
No he can't, he will need a longer ladder.
Draw a diagram and use this to explain pythagoras theorem.
Ms Grant to determine
Mia wants to make a rectangular garden bed. She knows one side is 5m, and the diagonal is 13m. What is the length of the other side?
12m