Mathematics: Use prime factorization to find the lcm of 60 and 32

Use prime factorization to find the lcm of 60 and

firefox1fan

24.02.2021

$\displaystyle 5\sqrt{2}$

Step-by-step explanation:

we have a right angle isosceles triangle

in order to figure out the length of each leg we can consider Pythagoras theorem given by

$\displaystyle {a}^{2} + {b}^{2} = {c}^{2}$

remember that,

isosceles triangle has two equal legs so a=b and given that the the hypotenuse is 10

substitute:

$\displaystyle {a}^{2} + {a}^{2} = {10}^{2}$

simplify addition:

$\displaystyle {2a}^{2}= 100$

simplify square:

divide both sides by 2:

$\displaystyle {a}^{2}= 50$

square root both sides:

$\displaystyle {a}^{}= \sqrt{50}$

$\displaystyle {a}^{}= 5\sqrt{2}$

hence,

the length of each leg is 5√2

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