In triangle PQR, PQ=13 , QR=14 , and PR=\(18\) . Let M be the midpoint of QR . Find PM.
+363 so according to the Pythaogorean Thereom,
\(a^2+b^2=c^2\)
in this case,
\(7^2+{PM}^2=18^2\)
so \(49+PM^2=324\)
\(PM^2=275\)
\(PM=5\sqrt11\)
+23245 I do not believe that the Pythagorean Theorem applies because PM is a median, not an altitude.
Since the triangle isn't an isosceles triangle, the median is not an altitude.
You can use this formula:
PM = sqrt( [ 2·PQ2 + 2·PR2 - QR ] / 4 )
+1694 Hey, what's going on here? Someone doesn't like correct answers; that must be you, Melody.
Would you give me a reasonable explanation for blocking my answer?
+1694 Hey, what's going on here? Someone doesn't like correct answers; that must be you, Melody.
Would you give me a reasonable explanation for blocking my answer?
+118609 It has already been answered.
You are just devaluing the good answer that has already been given.
All you are doing is encouraging cheating.
+1694 Neither of the above answers is correct!!!
The correct answer is as follows:
PM = [sqrt(2 * 132 + 2 * 182 - 142)] / 2
PM ≈ 14.053
~~~~~~~~~~~~~~~~~~~~~~~~~
Sides: a = 13 b = 18 c = 14
Area: T = 90.421
Perimeter: p = 45
Semiperimeter: s = 22.5
Angle ∠ A = α = 45.859° = 45°51'32″ = 0.8 rad
Angle ∠ B = β = 83.533° = 83°31'57″ = 1.458 rad
Angle ∠ C = γ = 50.609° = 50°36'31″ = 0.883 rad
Height: ha = 13.911
Height: hb = 10.047
Height: hc = 12.917
Median: ma = 14.756
Median: mb = 10.075
Median: mc = 14.053
+118609 Civonamzuk,
If you believe an answer is incorrect then it is up to you to state that clearly and politely.
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Just as Geno did when he explained why Xxmathman's answer was incorrect.
Do not just over-write people with no explanation.
Do not overwrite people without a clear explanation of why you are doing it.
Don't make a habit of giving final answers without explanations.
Part done, well explained, unfinished answers are usually best!
Educators on this site want to aid learning, NOT facilitate cheating.
+1694 Your answer: PM = 5√11 = 16.58312395
Correct answer: PM = 14.05346932 
+363 the midpoint of QR is M, so on eaither side of M, it is 7
one side is 7, one side is PM, and the hypotenuse is 18. So the pythagorean thereom works here
