Properties of Triangles: Level 2 Challenges Practice Problems Online

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 $ABC$ 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).

$ABC$ is an isosceles right triangle with $AB = AC = 6$ .

Given that $SDPF$ 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, $\overline { ZW } \bot \overline { XY },$ $\overline { XW } =16$ and $\overline { WY } =9$ . Find $\overline { ZY } +\overline {XY }$

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Properties of Triangles: Level 2 Challenges