Respuesta :
Answer:
a =5.3
Step-by-step explanation:
The Pythagorean theorem is
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 6^2 = 8^2
a^2 +36 = 64
Subtract 36 from each side
a^2 +36-36 = 64-36
a^2 =28
Take the square root of each side
sqrt(a^2) = sqrt(28)
a = 5.291502622
To the nearest tenth
a =5.3
We can solve for “a” using the Pythagorean theorem.
Pythagorean Theorem: a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² + 36 – 36 = 64 – 36
a² = 28
√a² = √28
a = 5.29150
Round to the nearest tenth.
5.29150 -> 5.3
Hence, “a” equals approximately 5.3
Best of Luck!