The vertices of a triangle are given as (5, 4), (9, 6), and (1, 5). Determine the area enclosed by this triangle.
- In triangle MNO, PQ is drawn parallel to side NO. If MP = 5 cm, PN = 10 cm and MQ = 6 cm, find MO.
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.
...In the given figure, AB ∥ QP, AB = x, PQ = x + 10, RB = x/2, BP = x + 1. Find PQ.
Calculate the hypotenuse of an isosceles right-angled triangle where the equal sides are 8√6 cm each.
- Find the altitude of an equilateral triangle whose side is 8√3 cm.
An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.
If each side of an equilateral triangle is 12 cm, then its altitude is equal to:
In a right triangle, if the altitude drawn to the hypotenuse divides the triangle into two triangles of equal area, what is the value of the smallest an...
A △ ABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.
