Question

In the triangle shown, what is the length of line BD?

Answer 1

4

Explanation:

This is a right triangle, so you can use the Pythagorean Theorem.

`a^(2)` +
`b^(2)` =
`c^(2)` C has to be the longest side. In this case, that is 5

`a^(2)` +
`3^(2)` =
`5^(2)`

`a^(2)` + 9 = 25 Subtract 9 from both sides

`a^(2)` + 9 - 9 = 25 - 9

`a^(2)` = 16 Take the square root of both sides.

`\sqrt{a^(2) }` =
`√(16)`

a = 4

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