Question

Can someone help me find the length of b of the unknown side in this triangle? Thanks! :)

Answer 1

4

Explanation:

Use the Pythagorean Theorem:

`a^2+b^2=c^2`

The measure of the hypotenuse is 5. The measure of the given leg is 3.

`3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\√(b^2)=√(16) \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}`

The unknown side of the triangle should be four units.

Answer 2

Answer: 4

Step-by-step explanation:

Using pythagoras theorem =>

b=
`\sqrt{c^2-a^2`

b=
`√(5^2-3^2)`

b=
`√(25-9)`

b=
`√(16)`

b=4