Complete construction

Construct triangle ABC if hypotenuse c = 7 cm and angle ABC = 30 degrees. / Use Thales' theorem - circle /. Measure and write down the length of legs.

Correct result:

a =  6.0622 cm
b =  3.5 cm

Solution:

$a=6.0621778265=6.0622\text{ cm}$

Try calculation via our triangle calculator.

$b=3.5={\displaystyle \frac{7}{2}}\text{ cm}=3.5\text{ cm}$

Try another example

Showing 0 comments:

Related math problems and questions:

• Construct 1
  Construct a triangle ABC, a = 7 cm, b = 9 cm with right angle at C, construct the axis of all three sides. Measure the length of side c (and write).
• Right triangle
  Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC.
• Construct
  Construct a triangle ABC inscribed circle has a radius r = 2 cm, the angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction and description.
• Construct rhombus
  Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm
• Triangle SSA
  Construct a triangle ABC if |AB| = 5cm v_a = 3cm, CAB = 50 °. It is to create the analysis and construction steps.
• Draw triangle
  Construct an isosceles triangle ABC, if AB = 7cm, the size of the angle ABC is 47°, arms | AC | = | BC |. Measure the size of the BC side in mm.
• Two heights and a side
  Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm and height to side b: vb = 4 cm.
• RT - inscribed circle
  In a rectangular triangle has sides lengths> a = 30cm, b = 12.5cm. The right angle is at the vertex C. Calculate the radius of the inscribed circle.
• Ruler and compass
  Use a ruler and compass to construct a triangle ABC with AB 5cm BAC 60° and ACB 45°.
• Diagonals
  Draw a square ABCD whose diagonals have a length of 6 cm
• Sides od triangle
  Sides of the triangle ABC has length 4 cm, 5 cm and 7 cm. Construct triangle A'B'C' that are similar to triangle ABC which has a circumference of 12 cm.
• Construct
  Construct a rhombus ABCD, if the size of the diagonal AC is 6 cm and diagonal BD 8 cm long.
• Tangents construct
  The circle k is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has with a line p angle 60°. How many solutions have the task?
• Trapezoid - construction
  Construct a trapezoid KLMN, where: k = 9 cm, l = 4 cm, m = 5 cm and angle α = 45°
• Rhombus and inscribed circle
  It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals.
• Construction
  Construction the triangle ABC, if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60° and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction)
• Thales
  Calculate the length of the Thales' circle described to the right triangle with hypotenuse 44.2 cm.