when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one, from where we can use proportions to get their sides, so Check the picture below.
Answer:
Area of ΔQRS = 2.3 square inches
Step-by-step explanation:
From the given information,
<S + <Q + <R =
51 + 44 + <R =
95 + <R =
<R = - 95
=
<R =
Applying the Sine rule, we have;
=
=
Using =
=
r =
= 2.9483
r = 2.9 inches
Also, =
=
q =
= 2.0559
q = 2.0 inches
From Herons formula,
Area of a triangle =
s =
= 3.6
Area of ΔQRS =
= 2.2895
Area of ΔQRS = 2.3 square inches