Is right triangle or not

If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.

Correct result:

A =  54.415

Solution:

a=13 b=11.5 c=22.5  c1=a2+b2=132+11.52≐17.3566 c1<>c  s=a+b+c2=13+11.5+22.52=472=23.5  A=s⋅ (s−a)⋅ (s−b)⋅ (s−c)=23.5⋅ (23.5−13)⋅ (23.5−11.5)⋅ (23.5−22.5)=3 329=54.415a=13 \ \\ b=11.5 \ \\ c=22.5 \ \\ \ \\ c_{1}=\sqrt{ a^2+b^2 }=\sqrt{ 13^2+11.5^2 } \doteq 17.3566 \ \\ c_{1}<>c \ \\ \ \\ s=\dfrac{ a+b+c }{ 2 }=\dfrac{ 13+11.5+22.5 }{ 2 }=\dfrac{ 47 }{ 2 }=23.5 \ \\ \ \\ A=\sqrt{ s \cdot \ (s-a) \cdot \ (s-b) \cdot \ (s-c) }=\sqrt{ 23.5 \cdot \ (23.5-13) \cdot \ (23.5-11.5) \cdot \ (23.5-22.5) }=3 \ \sqrt{ 329 }=54.415

Try another example


We would be very happy if you find an error in the example, spelling mistakes, or inaccuracies, and please send it to us. We thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Next similar math problems:

  • Ethernet cable
    EthernetCable Charles and George are passionate gamers and live in houses that are exactly opposite each other across the street, so they can see each other through the windows. They decided that their computers will connect the telephone cable in order to play games t
  • Drainage channel
    lich The cross section of the drainage channel is an isosceles trapezoid whose bases have a length of 1.80 m, 0.90 m and arm has length 0.60 meters. Calculate the depth of the channel.
  • Octagonal mat
    8gon_1 Octagonal mat formed from a square plate with a side of 40 cm so that every corner cut the isosceles triangle with leg 3.6 cm. What is the content area of one mat?
  • Right triangle
    triangles_1 Right triangle ABC with side a = 19 and the area S = 95. Calculate the length of the remaining sides.
  • Plane II
    compass2 A plane flew 50 km on a bearing 63degrees20 and the flew on a bearing 153degrees20 for 140km. Find the distance between the starting point and the ending point
  • RT 10
    triangles_rt Area of right triangle is 84 cm2 and one of its cathethus is a=10 cm. Calculate perimeter of the triangle ABC.
  • Right triangle ABC
    right_triangle_2 Calculate the perimeter and area of a right triangle ABC, if you know the length of legs 4 cm 5.5 cm and 6.8 cm is hypotenuse.
  • Broken tree
    stromy_4 The tree is broken at 4 meters above the ground and the top of the tree touches the ground at a distance of 5 from the trunk. Calculate the original height of the tree.
  • Four ropes
    vysilac TV transmitter is anchored at a height of 44 meters by four ropes. Each rope is attached at a distance of 55 meters from the heel of the TV transmitter. Calculate how many meters of rope were used in the construction of the transmitter. At each attachment
  • Ladder
    rebrik_2 The ladder has a length 3.5 meters. He is leaning against the wall so that his bottom end is 2 meters away from the wall. Determine the height of the ladder.
  • Ladder 2
    studna_1 Ladder 6.4 meters long is positioned in the well such that its lower end is distanced from the wall of the well 1.2 m. The upper part of the ladder is supported on the upper edge of the well. How high is the well?
  • Stairway
    schody Stairway has 20 steps. Each step has a length of 22 cm and a height of 15 cm. Calculate the length of the handrail of staircases if on the top and bottom exceeds 10 cm.
  • Base
    triangle_2 Compute base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm.
  • Triangle
    eq_triangle Can be rectangular triangle equilateral?
  • Windbreak
    vichrica A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree?
  • Ladder
    studna 8.3 meters long ladder is leaning against the wall of the well, and its lower end is 1.2 meters from this wall. How high from the bottom of a well is the top edge of the ladder?
  • Center traverse
    trianles It is true that the middle traverse bisects the triangle?