Use the diagram to find the length of the hypotenuse of the triangle formed by the squares.

A.
7 units
B.
6 units
C.
13 units
D.
17 units

1 answer

C. 13 units

The length of the hypotenuse can be found using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the two sides are 5 units and 12 units (as shown in the diagram).

Therefore, the length of the hypotenuse can be calculated as follows:

hypotenuse = √(5^2 + 12^2)
hypotenuse = √(25 + 144)
hypotenuse = √169
hypotenuse = 13 units

Therefore, the length of the hypotenuse of the triangle formed by the squares is 13 units.