Question

50 POINTS PLEASE HELP

Answer 1

The third one down (c)

Answer 2

`perimeter= 5√(15) + 5√(5)`

Explanation:

Given ,

A right angle triangle ΔABC with right angle at C and ∠A=30° and AC=5√5 units .

Let ∠A=A,∠B=B∠C=C and AC=b,BC=a,CA=b .

Implies perimeter of triangle = a+b+c .

now

`tanA=(a)/(b) \\\a=b*tanA\\a= 5√(5) *tan30^0\\a=(5√(5))/(√(3))`

and

`cosA=(b)/(c) \\\c=(b)/(cosA) \\c=(10√(5))/(√(3) )`

implies ,

`perimeter = (5√(5))/(√(3)) + 5√(5) +(10√(5))/(√(3) )\\perimeter= 5√(15) + 5√(5)`