Question

Area of a right triangle is 24cm² and the square 196. Taking of Sum of the perependicular sides the perpendicular sides as x melaes and y metres; What the number is x+y? Find the number x-y. Find the lengths of sides of the triangle.​

Answer 1

Step-by-step explanation:

Triangle area = (1/2)(base)(height)= 24 square cm

Let x = the base,

Then the perpendicular of the triangle is the

height, h = x-2.

Now Area = 24 = (1/2)(base)(height) =

(1/2)(x)(x-2).

Multiply by 2 to get rid of the fraction (1/2).

So 48 = (x)(x-2) = (8)(6) by simple visual inspection.

Therefore, base is 8 cm, height is 6 cm.

NOTE: You could also solve x^2 - 2x - 48 = 0 by

factoring or by using the quadratic equation formula,

but the answer is so easily visible with just 10

seconds of inspection.