Answer:
Option A - 9.3
Step-by-step explanation:
Given : A right triangle has a hypotenuse c = 12.6 and a leg b = 8.5.
To find : What is the approximate length of leg a?
Solution :
Since it is a right angle triangle ,
We apply Pythagoras theorem,
\(H^2=B^2+P^2\)
Where H is hypotenuse c=12.6
B is the base b =8.5
P is the perpendicular a=?
Substituent in the formula,
\(c^2=b^2+a^2\)
\(a=\sqrt{c^2-b^2}\)
\(a=\sqrt{(12.6)^2-(8.5)^2}\)
\(a=\sqrt{158.76-72.25}\)
\(a=\sqrt{86.51}\)
\(a=9.30\)
Therefore, Option A is correct.
The length of leg a is 9.3.
