As this is a right angle triangle.
using trigonometric identity:
tanA= Perpendicular/Base
In the given figure :
Perpendicular P= √5
Base B =O
so, Tan 30°= P/B
1/√3 = √5/
doing cross multiplication we have:
O= √5×√3
O=√15
To find value of Hypotenuse, we will trigonometric identity:
Cos 30°= Base/ Hypotenuse
√3/2 = √15/p
doing cross multiplication we get:
√3×p = √15×2
p = (√15 × 2)/ √3
p= (√5 × √3 × 2)/√3
p= 2√5
Hence, the Base is √15 and Hypotenuse p is 2√5.