Answer:
a = 6
- The length of side a is 6.
Explanation:
According to the question,
Using Pythagorean theorem
( a )² + ( b )² = ( c )²
- Where, a and b are the base and c is the length of hypotenuse.
( a )² + ( 8 )² = ( 10 )²
evaluate the exponent
a ² + 64 = 100
subtract 64 from each side
a ² + 64 - 64 = 100 - 64
a ² = 36
Take the square root of each side
√a² = √36
a = 6