In the right triangle ABC with a right angle at C is given side a=29 and height v=17. Calculate the perimeter of the triangle.

Correct answer:

o =  85.78

Step-by-step explanation:

a=29 h=17  a2=ca2+h2 ca=a2h2=292172=2 13823.4947  h2=ca cb cb=h2ca=17223.494712.3007  c=ca+cb=23.4947+12.300735.7953  c2=a2+b2 b=c2a2=35.7953229220.9835  o=a+b+c=29+20.9835+35.7953=85.78

Try calculation via our triangle calculator.

Did you find an error or inaccuracy? Feel free to write us. Thank you!


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

Related math problems and questions:

  • Without Euclid laws
    euclid Right triangle ABC with right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws.
  • Triangle ABC
    lalala In a triangle ABC with the side BC of length 2 cm The middle point of AB. Points L and M split the AC side into three equal lines. KLM is an isosceles triangle with a right angle at the point K. Determine the lengths of the sides AB, AC triangle ABC.
  • Triangle ABC
    ABC Right triangle ABC with right angle at the C, |BC|=18, |AB|=33. Calculate the height of the triangle hAB to the side AB.
  • Perimeter of triangle
    rt_triangle In the triangle, ABC angle A is 60° angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference.
  • Euclid 5
    euclid Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm.
  • RT triangle and height
    345 Calculate the remaining sides of the right triangle if we know side b = 4 cm long and height to side c h = 2.4 cm.
  • The right triangle
    rt_triangle In the right triangle ABC with a right angle at C, we know the side lengths AC = 9 cm and BC = 7 cm. Calculate the length of the remaining side of the triangle and the size of all angles.
  • Median
    medians In triangle ABC is given side a=10 cm and median ta= 13 cm and angle gamma 90°. Calculate length of the median tb.
  • Leg and height
    right_triangles Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m.
  • Rectangular
    rrr_triangle Rectangular triangle KLM with right angle at vertex L, angle beta at vertex K and angle alpha at vertex M. Angle at vertex M = 65°, side l = 17.5 cm. Use Pythagorean theorems and trigonometric functions to calculate the lengths of all sides and the angle
  • Triangle IRT
    triangles An isosceles right triangle ABC with right angle at vertex C has vertex coordinates: A (-1, 2); C (-5, -2) Calculate the length of segment AB.
  • Right angle
    rt_triangle In a right triangle ABC with a right angle at the apex C, we know the side length AB = 24 cm and the angle at the vertex B = 71°. Calculate the length of the legs of the triangle.
  • RT leg and perimeter
    rt Calculate the length of the sides of a right triangle ABC with hypotenuse c when the length of a leg a= 84 and perimeter of the triangle o = 269.
  • Right triangle
    right_triangles Calculate the missing side b and interior angles, perimeter, and area of ​​a right triangle if a=10 cm and hypotenuse c = 16 cm.
  • Squares above sides
    pataVysky Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm2. The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2: 1 ratio. The AC side is longer than the BC side. Calc
  • Triangle's centroid
    triangles In the triangle ABC the given lengths of its medians tc = 9, ta = 6. Let T be the intersection of the medians (triangle's centroid) and point is S the center of the side BC. The magnitude of the CTS angle is 60°. Calculate the length of the BC side to 2 d
  • Side c
    trig-cos-law In △ABC a=2, b=4 and ∠C=100°. Calculate length of the side c.