Pythagoras' theorem

1

Is a triangle with sides of {3}~{cm}, {4}~{cm} and {5}~{cm} a right-angled triangle?

2

Is a triangle with sides of {5}~{cm}, {6}~{cm} and {12}~{cm} a right-angled triangle?

3

What is the length of the hypotenuse of a right-angled triangle when the lengths of the other sides are {6}~{cm} and {8}~{cm}?

4

What is the length of the hypotenuse of a right-angled triangle when the lengths of the other sides are {5}~{cm} and {9}~{cm}?

5

What is the length of the hypotenuse of a right-angled triangle when the lengths of the other sides are {6}~{m} and {12}~{m}?

6

What is the length of one side of a right-angled triangle when the length of the hypotenuse is {10}~{cm} and the length of the other side is {4}~{cm}?

7

What is the length of one side of a right-angled triangle when the length of the hypotenuse is {18}~{cm} and the length of the other side is {10}~{cm}? Give your answer correct to {1} decimal place.

8

What is the length of one side of a right-angled triangle when the length of the hypotenuse is {20}~{mm} and the length of the other side is {14}~{mm}?

9

{A} is located at ({1},~{2}), and {B} is located at ({5},~{6}). What is the length of {AB}?

10

{X} is located at ({3},~{1}), and {Y} is located at ({6},~{4}). What is the length of {XY}?