ta co ti so:
\(\frac{S_{abcd}}{S_{bec}}=\frac{7}{3}\Leftrightarrow\frac{ab.bc}{\frac{x.bc}{2}}=\frac{7}{3}\Leftrightarrow\frac{2ab}{x}=\frac{7}{3}\)
\(\Leftrightarrow\)\(\Leftrightarrow\frac{2.7}{x}=\frac{7}{3}\Leftrightarrow\frac{2}{x}=\frac{1}{3}\Leftrightarrow x=6\)
Given that ABCD is a rectangle with AB = 12 cm, AD = 6 cm. M and N are respectively midpoint of segments BC and CD. Find the area of triangle AMN in square centimeters.
The diagarm shows a rectangle PQRS and T is a point on PS such that QT is perpendicular to RT. The length of QT is 4cm. The length of RT is 2cm. What is the area of the rectangle PQRS?
Let ABC be an isoceles triangle (AB = AC) and its area is 501cm2. BD is the internal bisector of the angle ABC (D ∈ AC), E is a point on the opposite ray of CA such that CE = CB. I is a point on BC such that CI = 1/2 BI. The line EI meets AB at K, BD meets KC at H. Find the area of the triangle AHC.
Let ABCD be a trapezoid with bases AB, CD and O be the intersection of AC and BD. If the areas of triangle OAB, triangle OCD are 16cm2, 40cm2respectively and M is the midpoint of BD, then the area of the triangle AMD is .........cm2.
Let the rectangle ABCD, AB=2/3BC and the area is 24cm2. What is the perimeter of the rectangle ABCD
A square and a triangle have equal perimeters. The lengths of three sides of the triangle are 6.2cm, 8.3cm and 9.5cm. The area of the square is...
1) The rectangle has length p and breath q (cm), where p and q are intergers. If p and q satisfy the equation pq+q=13 + q2
then the maxnium area of the rectangle
2) Let a,b and c be positive intergers such that ab + bc=518 and ab-ac=360. Find the largest value of the product abc.
P/s: As you may now, These are some questions from the 8 round of Math Violympic. Plz help me as much as you can! Thanks for all!
Question 1: Find the highest common factor of 147x and 98y if HCF(x;y)=1.
Question 2: 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______
Question 3: A pattern of triangle is made from matches shown as follows:
If there 2017 matches used, how many triangles has been formed?
P/s: Please help me! If possible, write the detail answer! Thanks for your help!!!
