Imaginary lines connecting points of equal amount of

 In triangle ABC, DE is parallel to BC and D lies on AB. If AD:DB = 2:3 and the area of triangle ABC is 125 sq cm, then the area of triangle ADE is:

If the ratio of the area of two similar triangles is √3:√2 then what is the ratio of the corresponding sides of the two triangles?

Determine the hypotenuse of an isosceles right-angled triangle where each of its equal sides measures 9√7 cm.

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

Find the length of AC, if ΔABC ~ ΔRQP and AB = 10 cm, RQ = 8 cm and RP = 12 cm.

Find the altitude of an equilateral triangle whose side is 8√3 cm.

In a triangle ABC, the incenter is at O. Find angle BAC if angle BOC=120°.

Find the area of the triangle formed by the line 5x + 3y = 15 and the x-axis and the y-axis.