In triangle PQR, PQ=13 , QR=14 , and PR=\(18\) . Let M be the midpoint of QR . Find PM.
+364 so according to the Pythaogorean Thereom,
\(a^2+b^2=c^2\)
in this case,
\(7^2+{PM}^2=18^2\)
so \(49+PM^2=324\)
\(PM^2=275\)
\(PM=5\sqrt11\)
+23252 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?
+118673 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
+118673 Civonamzuk,
If you believe an answer is incorrect then it is up to you to state that clearly and politely.
If there is incorrect working or an incorrect statement then it is up to you to explain where the problem lies.
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 
+364 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
