Question

What is the length of BC in the right triangle below?

Answer 1

\[BC=\sqrt{234}\]

Explanation:

length of BC=
`\[\sqrt{3^(2) +(15)^(2)  } \]\\\[=√(9+225) \]\\\[=√(234) \]`

Answer 2

A. √234

Explanation:

Given

AB = 3

AC = 15

BC = ?

BC is the hypotenuse here.

We will use the Pythagoras theorem to find the length of BC

So,

`(BC)^2 = (AB)^2 + (AC)^2\\(BC)^2 = (3)^2+(15)^2\\(BC)^2 = 9 + 225\\(BC)^2 = 234\\Taking\ square\ root\ on\ both\ sides\\√((BC)^2) = √(234)\\BC = √(234)`

Hence, Option A √234 is the correct answer ..