Question

If in the right angle triangled the length of the hypotenuse is 82cm . Find the area of the triangle?

Answer 1

Answer:

Step-by-step explanation:

Let ABC be right angle triangle at B.

then  BC = √(AC² - AB²)  = √ (6724 - AB²)  cm 

as  AC = 82 cm

Area Δ = 1/2 * AB * √(6724 - AB²)

If AB is very small like 0.1 cm, then BC will be 81.9999, but the area will be small like 4.1  cm²

If AB = BC then each = AC/√2.

Area = 1/2 * AC² / 2  = 1, 681  cm²

This is the maximum area possible with the hypotenuse and occurs when ABC is  Isosceles.

Answer 2

Answer:

Step-by-step explanation:

See the image for the full Answer!!