Which algorithm is used for shortest path in

Two similar triangles have areas 50 cm² and 98 cm². If a side of the smaller triangle is 5 cm, find the corresponding side of the larger triangle.

The perimeter of an equilateral triangle is 48√3 cm. Find its height.

Calculate the hypotenuse of an isosceles right-angled triangle where the equal sides are 8√6 cm each.

Calculate the altitude of an equilateral triangle having each side of length 10√3 cm.

In a ∆ABC, angle BAC = 90°. If BC = 25 cm, then what is the length of the median AD?

What is the height of an equilateral triangle with a side length of 14√7 cm?

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:

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

A triangular plot of land has sides 15 m, 20 m, and 25 m. Find its area and the cost of fencing it along all sides at Rs 80 per metre

Determine the inradius of an equilateral triangle whose altitude measures 9√3 cm.