Question

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

Answer 1

Answer:

A. √234

Step-by-step 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,

$(BC)^2 = (AB)^2 + (AC)^2\\(BC)^2 = (3)^2+(15)^2\\(BC)^2 = 9 + 225\\(BC)^2 = 234\\Taking\ square\ root\ on\ both\ sides\\\sqrt{(BC)^2} = \sqrt{234}\\BC = \sqrt{234}$

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

Answer 2

Answer:

\[BC=\sqrt{234}\]

Step-by-step explanation:

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