Perimeter of triangle

In the triangle, ABC angle A is 60° angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference.

Correct answer:

o =  70.9808 cm

Step-by-step explanation:

$$\begin{gathered} c=15\text{ cm } \\ A=60\text{ ° } \\ B=90\text{ ° } \\ C=180-A-B=180-60-90=30\text{ ° } \\ a=c\cdot \tan A\mathrm{°}=c\cdot \tan 60\mathrm{°}=15\cdot \tan 60\mathrm{°}=15\cdot 1.732051=25.98076\text{ cm } \\ b=\sqrt{a^2+c^2}=\sqrt{25.9808^2+15^2}=30\text{ cm } \\ o=a+b+c=25.9808+30+15=70.9808\text{ cm} \end{gathered}$$

Try calculation via our triangle calculator.

Try another example

Related math problems and questions:

• Right triangle trigonometrics
  Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
• 30-60-90
  The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg?
• Calculate
  Calculate the area of triangle ABC, if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm.
• Median
  In triangle ABC is given side a=10 cm and median ta= 13 cm and angle gamma 90°. Calculate length of the median tb.
• The right 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.
• Clouds
  Approximately at what height is the cloud we see under an angle of 26°10' and see the Sun at an angle of 29°15' and the shade of the cloud is 92 meters away from us?
• Right angle
  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.
• Rectangular
  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
• Inner angles
  The inner angles of the triangle are 30°, 45° and 105° and its longest side is 10 cm. Calculate the length of the shortest side, write the result in cm up to two decimal places.
• Nonagon
  Calculate the area and perimeter of a regular nonagon if its radius of the inscribed circle is r = 10cm
• Pyramid 8
  Calculate the volume and the surface area of a regular quadrangular pyramid with the base side 9 cm and side wall with the base has an angle 75°.
• Triangle SAA
  The triangle has one side long 71 m and its two internal angles is 60°. Calculate the perimeter and area of the triangle.
• V-belt
  Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
• Right triangle
  It is given a right triangle angle alpha of 90 degrees beta angle of 55 degrees c = 10 cm use Pythagorean theorem to calculate sides a and b
• Triangle - is RT?
  Triangle has a circumference of 90 cm. Side b is 1 cm longer than c, and side c is 31 cm longer than side a. Calculate the length of sides and determine whether a triangle is a right triangle.
• Area and two angles
  Calculate the size of all sides and internal angles of a triangle ABC, if it is given by area S = 501.9; and two internal angles α = 15°28' and β = 45°.
• One side
  One side is 36 long with a 15° incline. What is the height at the end of that side?