Question

What’s is the length of side b?

Answer 1

• H=45
• P=27
• B=?

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

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

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

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

$\\ \sf\longmapsto B=\sqrt{1296}$

$\\ \sf\longmapsto B=36$

Answer 2

Answer:

$\displaystyle 36 = b$

Step-by-step explanation:

The scale factour is $\displaystyle 4\frac{1}{2},$so multiply 8 by 4½:

$\displaystyle 36 = [4\frac{1}{2}][8]$

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:

$\displaystyle 4\frac{1}{2} = 45 \div 10$

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

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