Geometry

Properties of Triangles

Properties of Triangles: Level 2 Challenges

         

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.

Let ABCABC be a triangle with B=90\angle B=90^\circ, C=30\angle C=30^\circ and AB=5AB=5 Find the length of the angle bisector from AA to BC\overline{BC}(right to 22 decimal places).

ABCABC is an isosceles right triangle with AB=AC=6AB = AC = 6 .

Given that SDPFSDPF is a square, find the area of the square.

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?

In the image above, ZWXY,\overline { ZW } \bot \overline { XY }, XW=16\overline { XW } =16 and WY=9\overline { WY } =9. Find ZY+XY\overline { ZY } +\overline {XY }

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