Tag Archives: angle between radius and tangent

Uncut: Geometry Theory 3

Right Angled Triangles and properties

Practice Questions:

1. If the greatest side of right-angled triangle is 50 and one side is given as 14, find the third side.

2. If the greatest side of right-angled triangle is 7.5 and one side is given as 6, find the third side.

3.  In a 30-60-90 right angle triangle, the side opposite 90 degrees is given as 20 units, find the remaining two sides.

4.  In a 30-60-90 right angle triangle, the side opposite 60 degrees is given as 30 units, find the remaining two sides.

5.  In a 30-60-90 right angle triangle, the side opposite 30 degrees is given as 15 units, find the remaining two sides.

6. If the length of the side of a square is 50 units, find the length of diagonal.

7. If the length and breadth of rectangle is 60 and 25 units, find the length of diagonal.

8.  In a 45-45-90 right angle triangle, the side opposite 90 degrees is given as 20 units, find the remaining two sides.

9.  In a 45-45-90 right angle triangle, the side opposite 45 degrees is given as 50 units, find the remaining two sides.

10. Find the length of height of equilateral triangle of side 10 units.

11. Find the area of right-angle triangle of dimensions 10, 24 and 26 units.

12. Find the area of an isoscles triangle if the two equal sides are 26 each and one unequal side is 48 units.