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(44) Find the altitude of the triangle to side AB.
Link to diagram: https://ibb.co/spznGBS7
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Using three given sides of the triangle a, b, c, find its area by the Heron's formula
area =
,
where s =
=
= 11 is the semi-perimeter.
So, the area is
area =
=
=
.
Another formula for the area of the triangle is
area =
,
where h is the altitude drawn to the sides AB.
It gives you an equation
=
or
3*h =
.
From this equation, h =
= 6.99206 (rounded). ANSWER
At this point, the problem is solved in full.