Question

URGENT HELP NEEDED WITH RIGHT TRIANGLE TRIG!

Answer 1

Since this is a right triangle, we could use the pythagorean theorem: a²+b²=c² where this problem already gave us a=10 and b=√60, and we want to solve for c.

10²+(√60)²=c² ← 10² is 100, and the square cancels out the square root on the 60

100 + 60 = c²

160 = c² ← To isolate c, we take the square root of both sides

√160 = c ← √160 is the same as 4√10

Answer: 4√10

Answer 2

We can notice that , it is a right angled triangle.

Let the unknown side be ' c ' units.

Now by using Pythagoras we have a relation for all sides of the right angled triangle.

i.e
${ a}^{2} + {b}^{2} = {c}^{2}$
Now by substituting the values of a and b ;

${ c}^{2} = {10}^{2} + { \sqrt{60} }^{2} \\ \\ {c}^{2} = 100 + 60 = 160 \\ \\ c = \sqrt{160} = 4 \sqrt{10}$
Hence the third option has the correct answer.