Answer:
The answer is a. 21.
Step-by-step explanation:
We solve this question by using Pythagoras theorem to relate the sides of a right angled triangle.
Here,
Hypotenuse of the given triangle(c)=75
Two sides of right angled triangle are:
a=72
b=?
Then,
for a given right angled triangle abc,
Using Pythagoras theorem,
[tex]c=\sqrt{a^{2} +b^{2} }[/tex]
Squaring on both sides,
[tex]c^{2} =a^{2}+b^{2}[/tex]
or,[tex]75^{2}=72^{2}+b^{2}[/tex]
or, [tex]b^{2}=75^{2}-72^{2}[/tex]
or,[tex]b^{2}=5625- 5184[/tex]
or,[tex]b^{2} =441[/tex]
∴[tex]b=21[/tex]
So, the value of b is obtained to 21 by the use of Pythagoras theorem.
