Consider the following right triangle. Side a has length 5 cm and side c has length 2√10 cm. Find the length of side b.

Question

callisto · Answer

Which one has the longest side? a, b, or c?

anonymous · Answer

attachment

callisto · Answer

Use Pyth. Thm.
$$a^2 + b^b = c^2$$
Pur a=5, c= 2√10 into the above formula
$$5^2 + b^2 = (2\sqrt{10})^2$$
$$ b^2 = 40 -15$$
Can you continue from here?

callisto · Answer

Sorry, it should be 
$$b^2 = 40-25$$
Typing mistake

callisto · Answer

b would be equal to √15

anonymous · Answer

ok im back and i didnt even get A notification tellling me you wrote on here sorry

callisto · Answer

No worry, It's okay :) Do you understand my workings?

anonymous · Answer

Yes i do thank you for working out most people give me the answe and i hate that if im going to ask for help i want help working out the problem and not just the answer so thank you so so so much :)

callisto · Answer

Welcome :)

anonymous · Answer

:))