Question

In a right triangle with sides x and y, hypotenuse z, the altitude drawn on the hypotenuse is a, then

Answer 1

Answer:

here u go, i hope this helps....

Step-by-step explanation:

In a right triangle with sides x and y, hypotenuse z, the altitude drawn on the hypotenuse is a, then,

• xy=a2
• 1/x + 1/y = 1/a
• x2 + y2 =2a square
• 1/x2 + 1/y2 = 1/a2

Given the sides of right angle triangle x and y and hypotenuse is a

Then a2 = x2 + y2

Let the altitude on   hypotenuse divided  hypotenuse in side b and c

Then x2 = a2 + b2 ........................ (1)

and y2 = a2 + c2 ............................(2)

But b + c = z .......................................... (3)

Then square the equation

b2 + 2bc + c2 = a2 ..................................(4)

Add the equation (1) and (2)

x2 + y2 = 2a square + b2 + c2

or x2 + y2 + 2a square = b2 + c2

But a2 = x2 + y2 + 2xy.................................(5)

Comparing (4) and (5), we get

a2 = xy