Question

URGENT HELP NEEDED WITH RIGHT TRIANGLE TRIG!

Answer 1

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) + { √(60) }^(2) \\ \\ {c}^(2) = 100 + 60 = 160 \\ \\ c = √(160) = 4 √(10)`
Hence the third option has the correct answer.

Answer 2

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