Medians in RT

The rectangular triangle ABC has a length of 10 cm and 24 cm. Points P, Q, R are the centers of the sides of this triangle. The perimeter of the PQR triangle is:

Correct result:

o =  30 cm

Solution:

$$\begin{gathered} a=10\text{ cm } \\ b=24\text{ cm } \\ c=\sqrt{a^2+b^2}=\sqrt{10^2+24^2}=26\text{ cm } \\ o={\displaystyle \frac{a+b+c}{2}}={\displaystyle \frac{10+24+26}{2}}=30\text{ cm} \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Center traverse
  It is true that the middle traverse bisects the triangle?
• Holidays - on pool
  Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
• Double ladder
  The double ladder shoulders should be 3 meters long. What height will the upper top of the ladder reach if the lower ends are 1.8 meters apart?
• Double ladder
  The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach?
• Equilateral triangle
  The equilateral triangle has a 23 cm long side. Calculate its content area.
• Broken tree
  The tree was 35 meters high. The tree broke at a height of 10 m above the ground. Top but does not fall off it refuted on the ground. How far from the base of the tree lay its peak?
• A truck
  A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)?
• The ladder
  The ladder is 10 m long The ladder is 8 m high How many meters is the distant heel from the wall?
• Diamond and diagonals
  A diamond has diagonals f = 8 cm and g = 6 cm long. How long is this diamond perimeter? (Calculate it!)
• The right triangle
  The right triangle ABC has a leg a = 36 cm and an area S = 540 cm². Calculate the length of the leg b and the median t2 to side b.
• Isosceles triangle
  Calculate area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
• Sum of squares
  The sum of squares above the sides of the rectangular triangle is 900 cm². Calculate content of square over the triangle's hypotenuse.
• Isosceles trapezoid
  What is the height of an isosceles trapezoid, the base of which has a length of 11 cm and 8 cm and whose legs measure 2.5 cm?
• Median in right triangle
  In the rectangular triangle ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse).
• Sailing
  Solve the following problem graphically. The fishing boat left the harbor early in the morning and set out to the north. After 12 km of sailing, she changed course and continued 9 km west. Then When she docked and reached the fishing grounds she launched
• Land
  Rectangular triangular land has area 30 square meters and 12 meters long leg. How many meters of the fence do you need for fencing this land?
• Base of an isosceles triangle
  Calculate the size of the base of an isosceles triangle, the height is 5 cm and the length of the arm is 6.5 cm. What is the perimeter of this triangle?