Is it Right
Basic Pythagoras
Can you find the triangle?
Worded Problems
100
Is a triangle with the following side lengths a right angled triangle?
3cm , 4cm and 5cm
Yes, these side lengths will create a right angled triangle.
100
Find the hypotenuse
3.6 m
100
Find the length of the diagonal steel brace required to support a wall of length 3.8m and height of 3.1m. Give your answer correct to one decimal place
The brace is 4.9m long
100
A helicopter hovers at a height of 150 m above the ground and is a horizontal distance of 200 m from a beacon on the ground. Find the direct distance of the helicopter from the beacon.
The helicopter is 250m from the beacon
200
Is a triangle with the following side lengths a right angled triangle?
6m, 7m, 8m
No, these measurements don't make a right triangle
200
Find the Hypotenuse
2.2m
200
Find the length of the longest rod that will fit inside a cylinder of height 2.1 m and with circular end surface of 1.2 m diameter. Give your answer correct to one decimal place.
The rod is 2.4m long
200
Iain’s car has run out of petrol. He walks 12 km west and then 9 km south looking for a petrol station. How far is he away from his car?
Iain is 15km from his car
300
Is a triangle with the following side lengths a right angled triangle?
1mm, 6mm, and 7mm
No
300
Find the value of c
c = 5.8
300
Find the direct distance between the points A and B
The direct distance is 6.3m
300
Two flag posts of height 12m and 17m are erected 20m apart. Find the length of the string in metres (l) needed to join the tops of the two posts, correct to one decimal place.
The length of string needs to be 20.6m in length.
400
Is a triangle with the following side lengths a right angled triangle?
10cm, 3cm, and 10.5cm
Yes
400
Find a value of b
b = 8m
400
Find the direct distance between the points A and B (2 d.p)
The distance between the points A and B is 5.95m
400
In an army navigation exercise, a group of soldiers hiked due south from base camp for 2.5 km to a water hole. From there, they turned 45° to the left, to head south-east for 1.6 km to a resting point. When the soldiers were at the resting point, how far were they in a straight line from the base camp? (correct to one decimal place)
They were 3.8km from the base camp
500
Is a triangle with the following side lengths a right angled triangle?
1.2m, 150cm and 190cm
Yes
500
Find the value of b
b = 12m
500
Find the direct distance between points A and B (2 d.p)
The direct distance between A and B is 5.68m
500
A 100 m radio mast is supported by six cables in two sets of three cables. They are anchored to the ground at an equal distance from the mast. The top set of three cables is attached at a point 20 m below the top of the mast. Each cable in the lower set of three cables is 60 m long and is attached at a height of 30 m above the ground. If all the cables have to be replaced, find the total length of cable required. Give your answer correct to two decimal places.
466.18m of cable is required