How do you find the area of triangle DEFDEF given d=5.83, e=5.83, mangleF=48mF=48?

2 Answers
Jan 27, 2018

A=12.58 \ "units"^2

Explanation:

We can find the area of a triangle using trigonometric functions, such as

A=1/2desinF in this case

d=e=5.83

F=48

:.sinF^@=0.74

:A=1/2*5.83*5.83*0.74

A~~12.58 \ "units"^2

Jan 27, 2018

Area triangle DEF approx 12.629341 sq units

Explanation:

Here we have triangle DEF given angle F = 48^o and the sides opposite both angle D and angle E = 5.83 units

So we have been given the lengths of two sides and the included angle. We can use the formuls below for the area of triangle DEF

Area triangle DEF = 1/2 d e sinF
=1/2xx5.83xx5.83 xx sin(48^o)

approx 1/2 xx 33.9889 xx 0.743145

approx 12.629341 sq units

NB: Since triangle DEF is Isosceles (since d=e) other methods could be used to solve this.