Suppose that a, b > 0. If the equation x² + ax + b = 0

Area of a triangles with vertices at (2, 3), (-1, 0) and (2, -4) is :

In triangle ABC, DE is drawn parallel to BC, intersecting AB at D and AC at E. If AD : DB = 2 : 1 and area of triangle ADE is 24 cm², find:

Find area of a trapezium with parallel sides 12 cm and 18 cm, height 10 cm.

What is the height of an equilateral triangle with a side length of 12√5 cm?

Find the area of a triangle whose sides are 12 m, 14 m, and 16 m.

If two triangles ABC and XYZ are congruent, then which of the following statement(s) is/are true?

I. AB = XY

II. ∠CAB = ∠XYZ

What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 6√2 cm?

If each side of an equilateral triangle is 12 cm, then its altitude is equal to:

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.