Question

In a right triangle, one leg measures 4 inches and the other leg measures 6 inches. What is the length of the hypotenuse in inches? 
       A. 52   B. 10   C. 2√ 13    D. √ 52 

Answer 1

Answer:

The answer is C. $2\sqrt{13}$ $in^2$.

Step-by-step explanation:

In order to determine the length of the hypotenuse, we have to know the pythagoras theorem.

The Pythagorean Theorem is a formula relating the lengths of the three sides of a right triangle.

If we take the length of the hypotenuse to be "m" and the length of the legs to be "h" and "k" then:

$h^2+k^2=m^2$

So, according to the problem, we have a right triangle and the values of both legs. Therefore it is possible to determine the hypotenuse:

h=4 in

k=6 in

$(4)^2+(6)^2=m^2\\16+36=m^2\\m^2=52\\m=\sqrt{52}\\m=\sqrt{4*13} \\m=2\sqrt{13}$

Finally, the length of the hypotenuse in inches is C. $2\sqrt{13}$ $in^2$.

Answer 2

The length of the hypotenuse in inches is 2 square root 13