Two squares share a vertex. What’s the proportion x : y in terms of side lengths a and b?

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## Solution

The proportion x : y = √(a^{2}-b^{2}) : b.

## Poem

What pushes me up ?

Relation to one another

Kindness and respect

With love and tolerance

Be cool and pleasant

Go ahead and push up

Show a sense of humour

Life is not always easy

But every day can be a miracle

One little thing can make a difference

And push up makes sense

## 2 replies on “The push-up”

X:y = sqrt(a^2-b^2):b

x : y = √(a2-b2) : b