Question

Please help I’m stuck on the last one

Answer 1

AB = 14.0 cm

Explanation:

Pythagora's Theorem

In a right triangle with a hypotenuse of length H and legs of lengths L and W, then it's satisfied the equation:

`H^2 = L^2+W^2`

The diagram shows a wedge ABCDEF and it's required to calculate the length of the side AB.

Note the triangle FCB is right at C, where side length is the hypotenuse:

`BF^2=13^2+6^2`

`BF^2=169+36=205`

Triangle ABF is right at B and 20 cm is the hypotenuse, thus:

`20^2 =AB^2+BF^2`

Solving for AB:

`AB^2=20^2-BF^2`

`AB^2=20^2-205`

`AB^2=400-205=195`

`AB=√(195)`

AB = 14.0 cm