Consider the following right-angled triangle. Write the equation that can be constructed to find the value of x:
Determine whether the following are Pythagorean triples:
\left(6, 8, 13\right)
\left(5, 12, 13\right)
\left(2, 4, 6\right)
\left(3, 4, 5\right)
Find the length of the hypotenuse for the following triangles:
Find the length of the hypotenuse for the following triangles, give your answer as a surd:
The two smallest side lengths of a right-angled triangle are 6 and 9.
The two smallest side lengths of a right-angled triangle are 14 and 17.
The two smallest side lengths of a right-angled triangle are 6 and 7.
The two smallest side lengths of a right-angled triangle are 17 and 28.
Find the length of the unknown side for the following triangles:
Find the length of the unknown side for the following triangles, give your answers as a surd:
A right-angled triangle has a hypotenuse of length 9 and another side of length 3.
A right-angled triangle has a hypotenuse of length 17 and another side of length 14.
Find the base length of the following triangles:
The screen on a handheld device has dimensions 8\text{ cm} by 5 \text{ cm}, and a diagonal length of x cm. Find the value of x, round your answer to two decimal places.
William and Kenneth are playing football together. At one point in the game, they are near the same corner of the field. William is on the goal line, 11 m away from the corner, while Kenneth is on the side line, 17 m away from the corner.
Find the shortest distance between William and Kenneth. Round your answer to two decimal places.
A movie director wants to shoot a scene where the hero of the film fires a grappling hook from the roof of one building to the roof of another. The shorter building is 37 m tall, the taller building is 54 m tall and the street between them is 10 m wide.
Find the minimum length of rope, l, needed for the grappling hook. Give your answer correct to two decimal places.
A sports association wants to redesign the trophy they award to the player of the season. The front view of one particular design is shown in the diagram:
Find the value of x.
Find the value of y.
Find the value of d in the following figure. Round your answer to one decimal place.
Tricia's house has the outer dimensions as shown in the diagram below:
Find the height of the house, h, rounded to one decimal place.
