Katy MO

Kate draw triangle ABC. Middle of AB have mark as X and the center of the side AC as Y. On the side BC wants to find the point Z such that the content area of a 4gon AXZY was greatest. What part of the triangle ABC can maximally occupy 4-gon AXZY?

Correct result:

x =  0.5

Solution:

$x=1\mathrm{/}2={\displaystyle \frac{1}{2}}=0.5$

Try another example

Showing 0 comments:

Next similar math problems:

• The Chemistry test
  The Chemistry test contained 8 questions, each with 3 points. Peter scored 21 points. How many percent did Peter write a test?
• Hotel rooms
  In the 45 rooms, there were 169 guests, some rooms were three-bedrooms and some five-bedrooms. How many rooms were?
• Art school
  Every fifth pupil 9A goes to art school. How many percent of pupils in class 9A go to art school?
• Two numbers
  We have two numbers. Their sum is 140. One-fifth of the first number is equal to half the second number. Determine those unknown numbers.
• Center traverse
  It is true that the middle traverse bisects the triangle?
• Mysterious area
  The trapezoid ABCD is given. Calculate its area if the area of the DBC triangle is 27 cm².
• Diamond
  Rhombus has side 17 cm and and one of diagonal 22 cm long. Calculate its area.
• Triangle
  Calculate heights of the triangle ABC if sides of the triangle are a=75, b=84 and c=33.
• Triangle ABC
  Construct a triangle ABC is is given c = 60mm hc = 40 mm and b = 48 mm analysis procedure steps construction
• Regular octagon
  Draw the regular octagon ABCDEFGH inscribed with the circle k (S; r = 2.5 cm). Select point S' so that |SS'| = 4.5 cm. Draw S (S '): ABCDEFGH - A'B'C'D'E'F'G'H'.
• Tunnels
  Mice had built an underground house consisting of chambers and tunnels: • each tunnel leading from the chamber to the chamber (none is blind) • from each chamber lead just three tunnels into three distinct chambers, • from each chamber mice can get to any
• KLMN trapezoid
  The KLMN trapezoid has bases KL 40cm and MN 16cm. On the KL base is point P. The segment NP divides the trapezoid into units with the same area. What is the distance of point P from point K?
• Similarity coefficient
  The triangles ABC and A "B" C "are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A "B" C ".
• Parcel
  parcel has a rectangular shape of a trapezoid with bases 12 m and 10 m and a height 8 m. On parcel was built object with a footprint an isosceles triangle shape with side 4 m and height three-quarters of a meter. What is the area of unbuild parcel?
• Triangle SSA
  Construct a triangle ABC if |AB| = 5cm v_a = 3cm, CAB = 50 °. It is to create the analysis and construction steps.
• Construction
  Construction the triangle ABC, if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60° and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction)
• Parallelogram ABCD
  The area of parallelogram ABCD is 440 cm². Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND?