Question 605808
A right triangle has a hypotenuse of length 2√13 cm. and a leg of length
3√5 cm. What is the length of the other leg?
.
Apply Pythagorean Theorem:
Let x = length of other leg
then
{{{x^2 + (3sqrt(5))^2 = (2sqrt(13))^2}}}
{{{x^2 + (9*5) = (4*13)}}}
{{{x^2 + 45 = 52}}}
{{{x^2 = 7}}}
{{{x = sqrt(7)}}}