SOLUTION: Find the perimeter and area of a triangle measuring 5x3x4

Question 114237: Find the perimeter and area of a triangle measuring 5x3x4
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
By definition, the perimeter of a polygon is found by adding the lengths of its sides.
In this case the triangle has sides of 5, 3, and 4 so its perimeter (P) is:
.
P = 5 + 3 + 4 = 12
.
From geometry you may recognize that this is a right triangle that has 3 and 4 as its legs
and 5 as its hypotenuse.
.
Since this is a right triangle, the two legs are at right angles to each other. Therefore,
you can select one of the legs as the altitude or height of the triangle, and the other
leg then becomes the base. In this case let's call 4 the height and 3 the base. The are
of a triangle is given by the equation:
.
A = (1/2)*h*b
.
where h is the height and b is the base. So substitute 4 for h and 3 for b to make the
area equation become:
.
A = (1/2)*4*3
.
and multiply this out to get:
.
A = (4*3)/2 = 12/2 = 6 square units
.
Hope this helps you to understand and solve the problem.
.

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