Answer:
57 mm
Step-by-step explanation:
To solve for a, we can use the Pythagorean Theorem.
a² + b² = c²
We have to solve for a, and we are given values for b and c, c being the hypotenuse.
This is what we know-
a² + 76² = 95²
We can simplify this to-
a² + 5776 = 9025
To solve for a, we have to isolate the variable on on side of the equals sign. So, we can subtract 5776 from both sides.
a² + 5776 - 5776 = 9025 - 5776
Simplify.
a² = 3249
Finally, to solve for a, find the square root of a².
[tex]\sqrt{3249^{2}[/tex] = 57
So, a = 57 mm
I hope this is helpful :) Good luck ^^
