Find the Pythagorean Triple (a, b,c) using the terms (x²-y², 2xy, x²+y²) for x > y > 0 when x = 8 and y = 5.

(39,80,89)

Step-by-step explanation:

A Pythagorean triple is one that consists of three positive integers a, b and c such that;

a² + b² = c²

In this case;

The terms are: (x²-y², 2xy, x²+y²) where x > y > 0  where x=8 and y=5

The terms are : x²-y² = 8²-5² = 64-25 = 39

                       : 2xy = 2*8*5 =16*5 = 80

                       : x²+y²= 8²+5²=64+25 = 89

Applying the Pythagorean triple;

a² + b² = c²

39² + 80² = 89²

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

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d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it