Toán tiếng anh: If the length of a leg of a right angle is 11 and the lengths of the other two side are both positive integers, then the perimeter of a triangle is.............
Find the greatest negative integer value for n so that:
n4 - 25n2 - 70n - 49
Let ABC be a triangle having the ratios of the length of the two side sharing the common vertex A as 2:3 . Let AM be the media and Ak be the angle bisector of the triangle. Find the ratio of the areas of the triangle AKM and the triangle AKB.
( Giải bằng tiếng anh )
On the supposition that AB<AC
AK be the angle bisector of the triangle
\(\Rightarrow\) \(\frac{KB}{KC}=\frac{AB}{AC}=\frac{2}{3}\)
\(\Rightarrow\frac{MB-MK}{MC+MK}=\frac{MC-MK}{MC+MK}=\frac{2}{3}\)
\(\Rightarrow3MC-3MK=2MC+2MK\)
\(\Rightarrow MC=5MK\)
\(\Rightarrow BK=MC-MK=5MK-MK=4MK\)
Let AH be the height of the triangle
\(\Rightarrow\frac{S_{AKM}}{S_{ABK}}=\frac{\frac{AH.KM}{2}}{\frac{BK.AH}{2}}=\frac{KM}{4KM}=\frac{1}{4}\)
If AB > AC then
\(\Rightarrow CM=5MK\)
\(\Rightarrow Bk=CM+MK=5MK+MK=6MK\)
\(\Rightarrow\frac{S_{AKM}}{S_{AKB}}=\frac{\frac{AH.MK}{2}}{\frac{AH.BK}{2}}=\frac{MK}{6MK}=\frac{1}{6}\)
find the smallest positive integer k for which \(\sqrt{6075\cdot k}\) is a whole number
Answer : the smallest positive integer k is ......
2. find the value of k such that the remainder is the greatest
k/13= 11Rx
K=
The lengths in cm of three sides of a triangle are three consecutive odd numbers. Knowing that the perimeter of the triangle is 39cm, find the length of the longest side of the triangle. Show your work.
The lengths of three sides of a triangle are all primes, and the perimeter of the triangle is 17. Find the sum of all possible value(s) of the second longest side.
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Câu 5 : Find A, if A is 3 less than the average of 48; 55; 29 and A. The value of A is…
Câu 6 : The sum of denominator and numerator of a fraction is 121 and the fraction is equal to 4/7. Find the denominator of the fraction?
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Câu 8 : Which is the greatest 2 - digit number divisible by 2, 3 and 4?
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câu 1:16 ; câu 2 : ai mà biết được
The lengths of three sides of a triangle are all primes, and the perimeter of the triangle is 4343. Find the sum of all possible value(s) of the longest side.
Question 1:In a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is____
Q2:Find the highest common factor of 147x and 98y if HCF(x;y)=1
Q3: A pattern of triangles is made from matches shown as follows
if there are 207 matches used, how many triangles has been formed
