
A triangle has two sides of equal length. If the angles opposite to them are , then determine the third angle? Write the answer in degrees.


Important Questions on Properties of a Triangle
In an isosceles triangle, if the angle at the vertex is , then determine the other two angles opposite to the equal sides.

is a right-angled triangle with and . Determine ? Write the answer in degrees.

In the figure given below, and if is twice of , then determine all three angles of the triangle.

In figure, is given with its three angles. Which are the two equal sides of the triangle? Name the largest side?

If the three angles of a triangle are in the ratio , find all its three angles?

Some triangles are given below and their medians are drawn. Fill up the blanks in the table accordingly.
Figure |
Name |
Distance of centroid from the vertex |
Distance of midpoint of opposite side |
Ratio |
_____ _____ _____ |
_____ _____ _____ |
_____ _____ _____ |
||
_____ _____ _____ |
_____ _____ _____ |
_____ _____ _____ |
||
_____ _____ _____ |
_____ _____ _____ |
_____ _____ _____ |

Draw an isosceles triangle and construct medians of its equal sides. Can you see a relation between the two medians. If yes, then write the relation.

Draw a triangle. Do the altitudes of the triangle meet at one point? Can we conclude that for orthocenter of the triangle, we need only two altitudes.
