Elementary Geometry For College St...
Solutions
Elementary Geometry For College St...
For Exercises 45 and 46, use this information: Let a, b, and c be the integer lengths of the sides of a triangle. If the area of the triangle is also an integer, then (a, b, c) is known as a Heron triple.
Which of these are Heron triples?
| a) (9, 10, 17) | b) (8, 10, 12) |
(a)
To Check:
The area of the triangle value is integer or not and conclude the provided information satisfies Heron triple or not.
Formula Used:
Heron’s Formula: If the three sides of a triangle have lengths
where the semiperimeter of the triangle is
Calculation:
Consider the triples (9, 10, 17). That is,
Applying the values
(b)
To Check:
The area of the triangle value is integer or not and conclude the provided information satisfies Heron triple or not.
Chapter 8 Solutions
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