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3 years ago

How do you solve this?

Mathematics

1 answer:

Bogdan [553]3 years ago

5 0

Answer:

x = y = (15/2)√2

Step-by-step explanation:

You can recognize this as an isosceles right triangle, so x=y. They Pythagorean theorem then tells you that ...

15² = x² + x²

225/2 = x²

√(225/2) = x = √(225·2/4) = (15/2)√2

The solution is x = y = (15/2)√2.

_____

<em>Comment on isosceles right triangles</em>

It is worth remembering that the ratio of sides of an isosceles right triangle is ... side : side : hypotenuse = 1 : 1 : √2.

Knowing this lets you write down the solution to this problem as ...

x = y = 15/√2

Of course, the denominator of this fraction can be rationalized by multiplying the fraction by (√2)/(√2) to get (15√2)/2 or (15/2)√2.

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