Answer:
[tex]option \: b) \: \: \: 5 \sqrt{5} cm[/tex]
Step-by-step explanation:
Given,
Base of the triangle = 10
Hypotenuse of the triangle = 15
So, according to Pythagoras Theorem,
[tex] {c}^{2} - {a}^{2} = {b}^{2} [/tex]
[tex] {15}^{2} - {10}^{2} = {b}^{2} [/tex]
[tex]225 - 100 = {b}^{2} [/tex]
[tex]125 = {b}^{2} [/tex]
[tex]b = \sqrt{125} [/tex]
[tex]b = \sqrt{5 \times 5 \times 5} [/tex]
[tex]b = 5 \sqrt{5} cm \: (ans)[/tex]
