2000003205
Level:
A
There is an equilateral triangle \(ABC\) in the picture. Choose the correct statement.
The triangle KBC is acute-angled.
The triangle KBC is right-angled.
The triangle KBC is obtuse-angled.
The triangle KBC is isosceles.
Triangles
2000003204
Level:
A
The picture shows a triangle \(ABC\) with a circumscribed circle \(k\) that is centered at \(S\). What is the measure of the angle \(\beta\)?
\( 58^{\circ}\)
\( 32^{\circ}\)
\( 148^{\circ}\)
\( 64^{\circ}\)
2000003203
Level:
A
A deltoid is composed of two isosceles triangles that have a common base. See the picture. Find the measures of the deltoids interior angles.
\( \alpha=36^{\circ};~\beta=134^{\circ};~\gamma=56^{\circ};~\delta=134^{\circ}\)
\( \alpha=36^{\circ};~\beta=100^{\circ};~\gamma=56^{\circ};~\delta=100^{\circ}\)
\( \alpha=56^{\circ};~\beta=134^{\circ};~\gamma=56^{\circ};~\delta=134^{\circ}\)
\( \alpha=36^{\circ};~\beta=128^{\circ};~\gamma=56^{\circ};~\delta=128^{\circ}\)
2000003202
Level:
A
An isosceles triangle \(ABC\) is given in the picture. What are the measures of its interior angles?
\( \alpha=27^{\circ};~\beta=27^{\circ};~\gamma=126^{\circ}\)
\( \alpha=54^{\circ};~\beta=54^{\circ};~\gamma=72^{\circ}\)
\( \alpha=63^{\circ};~\beta=63^{\circ};~\gamma=153^{\circ}\)
\( \alpha=126^{\circ};~\beta=27^{\circ};~\gamma=27^{\circ}\)
2000003201
Level:
A
There is a triangle ABC in the picture. Choose the correct statement.
The triangle is isosceles.
The triangle is equilateral.
The triangle is right-angled.
The triangle is obtuse.
Triangle trigonometry
Submitted by ladislav.foltyn on Sun, 03/17/2019 - 13:39Question:
An equilateral triangle and a square are in the diagram. Refer to the diagram and in the table mark the right values of trigonometric functions for the given angles.
Finding the Third Angle in a Triangle
Submitted by ladislav.foltyn on Sat, 02/23/2019 - 14:08Question:
Find the third angle of a triangle if the other two angles are known.
Adjacent, Vertical and Supplementary Angles
Submitted by ladislav.foltyn on Mon, 12/10/2018 - 12:33Question:
Follow the diagram and assign the correct degree measure to each angle in the table.
Right triangle trigonometry
Question:
The diagram shows a right-angled triangle with the right angle at the vertex $C$. Mark the appropriate fraction that defines the goniometric function in the triangle for each of the given goniometric functions.
1103021907
Level:
C
A plane is flying at a speed of \( 900\,\mathrm{km}\cdot\mathrm{h}^{-1} \) and according to the compass the axis of the airplane is still heading westbound. What angle will the flight path of the airplane make with the east-west direction if the south wind starts to blow at a speed of \( 10\,\mathrm{m}\cdot\mathrm{s}^{-1} \)? Round the result to two decimal places.
\( 2.29^{\circ} \)
\( 0.64^{\circ} \)
\( 0.01^{\circ} \)
\( 87.71^{\circ} \)