Difference between revisions of "1993 UNCO Math Contest II Problems/Problem 10"
(→Solution) |
m (Remove nonexistent template) |
||
Line 36: | Line 36: | ||
== See also == | == See also == | ||
{{UNCO Math Contest box|year=1993|n=II|num-b=9|after=Last Question}} | {{UNCO Math Contest box|year=1993|n=II|num-b=9|after=Last Question}} | ||
− | |||
[[Category:Intermediate Geometry Problems]] | [[Category:Intermediate Geometry Problems]] |
Latest revision as of 23:57, 3 June 2022
Problem
The scalene triangle has side lengths is perpendicular to
(a) Determine the length of
(b) Determine the area of triangle
Solution
We will solve both parts at once since it is easy to get the two answers from this all-inclusive solution.
Heron's Formula states that in a triangle with sides and the area is given by We plug in
Since we know that Solving, we get Remembering our 8-15-17 Pythagorean triple, we see that
See also
1993 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Last Question | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |