Answer:
The drawing in the attached figure
Step-by-step explanation:
we know that
An isosceles triangle, has two equal sides and two equal interior angles
In this problem, the floor of the entryway to an office building is in the shape of an isosceles triangle
step 1
Find the measure of the vertex angle
Remember that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
Let
x ---> the measure of the vertex angle of triangle
step 2
Find the length of the congruent sides of triangle
Applying the law of sines
Let
c ----> the length of one congruent side
we have
substitute
solve for b
step 2
Make a scale drawing of the entryway
The scale drawing is 1 cm : 2 cm
That means
1 cm in the drawing represent 2 cm in the actual
or
1 cm in the drawing represent 0.02 m in the actual
Find the dimensions in the drawing
For a=8 m
For b=5.22 m
step 3
Draw the triangle
see the attached figure
