Question

What is the length of the side a ?

A=

Answer 1

a=5

Explanation:

carry on learning to ☺️☺️

Answer 2

`a = 5`

Explanation:

Notice that
`\triangle CDB` is a right triangle where its hypotenuse is
`\overline{CB}`. We can also see that
`a = CB`. For this we must use the Pythagorean Theorem.

Recall:

The Pythagorean Theorem states that if you have a right triangle, the principal square root of the sum of the squares of each leg is the length the hypotenuse.

We can see that
`CD = 3` and
`DB = 4`

`a = √(CD^2 +DB^2) \\ a = √(3^2 +4^2) \\ a = √(9 +16) \\ a = √(25) \\ a = 5`