- Find the distance between the parallel sides of a trapezium whose area is 315 cm² and the lengths of the parallel sides are 15 cm and 21 cm respectively.
- In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.
Find the ratio between the area of an equilateral triangle with side 6 cm and the area of a square with side 6 cm.
Two sides of a triangle are 10 cm and 15 cm. Which of the following can be the third side of the triangle?
Determine the hypotenuse of an isosceles right-angled triangle where each of its equal sides measures 9√7 cm.
Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF.
...The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the area of the triangle?
What is the height of an equilateral triangle with a side length of 12√5 cm?
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
The inner-radius of a triangle is 5 cm, and the sum of lengths of its sides is 60 cm. What is the area of the triangle (in sq. cm.)?
