Given 30-60-90 triangle with sides p\sqrt(6) , p\sqrt(2 ), q\sqrt(3); find p, q

alexcardenas Nov 20, 2023

#4**0 **

We are given a 30-60-90 triangle ABC with sides p6, p2, and q3. We are asked to find the values of p and q. We can start by using the fact that the sides of a 30-60-90 triangle are in the ratio 1:3:2. This means that we can write the following equations:

p2p6=3q3p2=1

Simplifying these equations, we get:

26=332=q1

Solving the first equation, we find that 6=6. This is true, so our first equation is valid.

Solving the second equation, we find that q=6.

Therefore, the values of p and q are p = 1/sqrt(3) and q = sqrt(6)

bader Nov 20, 2023