Properties of Triangles
A vertical pole AB measuring 5 meters snaps at point C. The pole remains in contact
at C and the top of the pole touches the ground at point T, a distance of 3 meters
from A.
Find the length AC, in meters, the point where the pole snapped.
by
Tan Chee Sen
Let \(ABC\) be a triangle with \(\angle B=90^\circ\), \(\angle C=30^\circ\) and \(AB=5\) Find the length of the angle bisector from \(A\) to \(\overline{BC}\)(right to \(2\) decimal places).
by
Hjalmar Orellana Soto
\(ABC\) is an isosceles right triangle with \(AB = AC = 6 \).
Given that \(SDPF\) is a square, find the area of the square.
by
Sudhakar Yadav
The two red lines in the diagram shown are drawn diagonally on the faces of a cube. What is the angle (in degrees) between them at the point where they join?
by
Dinesh Nath Goswami
In the image above, \(\overline { ZW } \bot \overline { XY },\) \(\overline { XW } =16\) and \(\overline { WY } =9\). Find \(\overline { ZY } +\overline {XY } \)
by
Victor Paes Plinio