Question

What’s is the length of side b?

Answer 1

`\displaystyle 36 = b`

Explanation:

The scale factour is
`\displaystyle 4(1)/(2),`so multiply 8 by 4½:

`\displaystyle 36 = [4(1)/(2)][8]`

Now, the way you can tell that this is the scale factour is by our MAGIC NUMBER, 10. If you divide both hypotenuses, you will get 4½:

`\displaystyle 4(1)/(2) = 45 / 10`

From here, you already know you must multiply 8 by this scale factour.

I am delighted to assist you at any time.

Answer 2

• H=45
• P=27
• B=?

`\\ \sf\longmapsto B^2=H^2-P^2`

`\\ \sf\longmapsto B^2=45^2-27^2`

`\\ \sf\longmapsto B^2=2025-729`

`\\ \sf\longmapsto B^2=1296`

`\\ \sf\longmapsto B=√(1296)`

`\\ \sf\longmapsto B=36`