Answer:
Correct answer is option C (√61)
Step-by-step explanation:
in this question we have given a right triangle in which
∠C=[tex]90^{0}[/tex]
BC = 6 and AC = 5
we have to find the length of the hypotenuse, AB=?
To find the the hypotenuse we will apply Pythagoras theorem (According to Pythagoras theorem, "in a right angle triangle, square of hypotenuse is equal to the sum of square of other two sides")
In ΔABC by Pythagoras theorem
[tex]AB^{2}=AC^{2}+BC^{2}[/tex]...................(1)
put values of BC and AC in equation 1
[tex]AB^{2}=5^{2}+6^{2}[/tex]
[tex]AB^{2}=25+36[/tex]
[tex]AB^{2}=61[/tex]
AB=√61
