KLM triangle

Find the length of the sides of the triangle KLM if m = 5cm height to m = 4.5 cm and size MKL angle is 70 degrees.

Correct answer:

k =  5.6173 cm

Step-by-step explanation:

$$\begin{gathered} m=5\text{ cm } \\ {v}_1=4.5\text{ cm } \\ K=70^{\circ } \\ {m}_1=v_1\mathrm{/}\tan K^{\circ }=v_1\mathrm{/}\tan 70^{\circ }=4.5\mathrm{/}\tan 70^{\circ }=4.5\mathrm{/}2.747477=1.63787\text{ cm } \\ {m}_2=m-m_1=5-1.6379\doteq 3.3621\text{ cm } \\ k=\sqrt{v_1^2+m_2^2}=\sqrt{4.5^2+3.3621^2}=5.6173\text{ cm} \end{gathered}$$

Try calculation via our triangle calculator.

Try another example

Related math problems and questions:

• Right angled triangle 3
  Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find its unknown sides length.
• 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
• Acute triangle
  In the acute triangle KLM, V is the intersection of its heights and X is the heel of height to the side KL. The axis of the angle XVL is parallel to the side LM and the angle MKL is 70°. What size are the KLM and KML angles?
• Right triangle
  A right triangle ABC is given, c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees.
• 4side pyramid
  Calculate the volume and surface of 4 sides regular pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees.
• Isosceles triangle
  Calculate the size of the interior angles and the length of the base of the isosceles triangle if the length of the arm is 17 cm and the height to the base is 12 cm.
• 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)
• Rotary cone
  The volume of the rotation of the cone is 472 cm³ and angle between the side of the cone and base angle is 70°. Calculate lateral surface area of this cone.
• Triangle and its heights
  Calculate the length of the sides of the triangle ABC, if v_a=5 cm, v_b=7 cm and side b is 5 cm shorter than side a.
• Euclid 5
  Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height v_c = 5 cm.
• Cone side
  Calculate the volume and area of the cone whose height is 10 cm and the axial section of the cone has an angle of 30 degrees between height and the cone side.
• 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
• 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.
• 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.
• Angles and sides of the triangle
  Triangle ABC has a circumference of 26 cm. Lengths of the sides are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles in order of their size. ...
• RT triangle and height
  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.
• Truncated pyramid
  Find the volume of a regular 4-sided truncated pyramid if a1 = 14 cm, a2 = 8 cm and the angle that the side wall with the base is 42 degrees