Problem 4 Given the following triangle: A(0,6) B(0,0) • P(4,5) C($,0) a. find the equation of the median through point A [APP/S, T/1/2] b. find the shortest distance from point P to line AC [APP/8, T/1/2, COMM/1) c. Prove algebraically that the triangle is a right angled triangle [APP/4, T/1/2, COMM/2)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Problem 4
Given the following triangle:
A(0,6)
B(0,0)
P(4,5)
1 C($,0)
a. find the equation of the median through point A [APP/S, T/1/2]
b. find the shortest distance from point P to line AC [APP/8, T/1/2, COMM/1]
c. Prove algebraically that the triangle is a right angled triangle [APP/4, T/1/2, COMM/2)
Transcribed Image Text:Problem 4 Given the following triangle: A(0,6) B(0,0) P(4,5) 1 C($,0) a. find the equation of the median through point A [APP/S, T/1/2] b. find the shortest distance from point P to line AC [APP/8, T/1/2, COMM/1] c. Prove algebraically that the triangle is a right angled triangle [APP/4, T/1/2, COMM/2)
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