11.01 Finding the hypotenuse
For each of the following, find the number that completes a Pythagorean triple given the two smallest numbers:
3 and 4
8 and 6
9 and 12
8 and 15
For each diagram, identify which side of the triangle is the hypotenuse.
For the following right-angled triangles:
Write the equation that the sides of the triangle satisfy.
Solve the equation to find the length of the hypotenuse.
Find the length of the unknown side of the following triangles:
Find the length of the unknown side of the following triangles as a surd:
Find the length of the unknown side of the following triangles, correct to two decimal places:
Consider the following triangle:
Find the length of the hypotenuse.
Find the perimeter of the triangle.
A right-angled triangle has two shorter sides measuring 15.4 \,\text{mm} and 17.7 \,\text{mm}.
Find the length of the hypotenuse, correct to two decimal places.
Find the perimeter of the triangle, correct to two decimal places.
A right isosceles triangle has two sides measuring 17 \,\text{cm}.
Find the length of its hypotenuse, correct to two decimal places.
Find the perimeter of the triangle, correct to two decimal places.
Find the exact length of the diagonals of the following rectangles:
A rectangle whose side lengths are 9 and 12.
A rectangle whose side lengths are 9 and 14.
Find the length of the diagonals of the following squares, correct to two decimal places:
A square with side length of 9.
A square with side length of 12.
Complete the following table:
| Side length of square | Exact length of diagonal |
|---|---|
| 1 | |
| 3 | |
| 6 | |
| 11 | |
| 249 |