Question

Plz solve i beg i really need help i beg u guys

Given: △AFD, m∠F=90°
DF=7 3 , m∠D=30°
Find: Area of △AFD

Answer 1

check the picture below.

if ∡F = 90° and ∡D = 30°, then the ∡A = 60°, meaning the triangle is a 30-60-90 triangle and therefore we can use the 30-60-90 rule as you see in the picture.

`\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=7√(3)\\ b=7 \end{cases}\implies A=\cfrac{1}{2}(7)(7√(3)) \\\\\\ A=\cfrac{49√(3)}{2}\implies A\approx 42.43524478543749369142`