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PLEASE HELP! What is the area of triangle BCD in exact form? 35 points!

PLEASE HELP! What is the area of triangle BCD in exact form? 35 points!-example-1
User Moema
by
5.7k points

1 Answer

4 votes
This is a 30-60-90 triangle. The short leg is given to us as 5

The long leg is equal to sqrt(3) times the short leg

long leg = sqrt(3)*(short leg)
long leg = sqrt(3)*5
long leg = 5*sqrt(3)

The base is 5. The height is 5*sqrt(3)
b = 5
h = 5*sqrt(3)

Use this to find the area
A = b*h/2
A = 5*5*sqrt(3)/2
A = 25*sqrt(3)/2
which is the exact area in terms of a radical

You can write it out as
(25√(3))/(2)
User Dmitry Melnikov
by
6.5k points
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