Triangle Mathematics Solutions.
Que.1. State which pairs of triangles in the figure are similar. Write the similarity criterion used to answer the question and also express the similar triangles in symbolic form.
1.
Que. 3. Trapezium ABCD, with AB || DC, has diagonals AC and BD intersecting at . Using the similarity criterion for two triangles, show that
Que. 7. In the figure, the altitudes AD and CE of triangle ABC intersect each other at point P. Show that:
Que. 8. E is a point on the extended side AD of parallelogram ABCD, and BE intersects side CD at F. Show that
Que. 9. In the figure, ABC and AMP are two right-angled triangles with right angles at B and M. Prove that:
Que. 11. In the figure, E is a point on the extended side CB of an isosceles triangle ABC with AB = AC.
Que. 12. The sides AB and BC and median AD of a triangle ABC are respectively proportional to the sides PQ and QR and median PM of another triangle PQR. show that
Que. 13.
Que. 14. The sides AB and AC and median AD of a triangle ABC are respectively proportional to the sides PQ and PR and median PM of another triangle. show that
Que. 15. The length of the shadow of a vertical pillar of height 6 m on the ground is 4 m, while at the same time, the length of the shadow of a tower is 28 m. Find the height of the tower.
Given – BD = 28m
CD = 4m
CE = 6m
Proven – AB = X =?
7 X 6 = X
AB = X = 42m
Height of the tower = 42m
Que. 16.
