Final answer:
The value of the other leg of the triangle is 6.
Step-by-step explanation:
The Pythagorean theorem relates the length of the legs of a right triangle, labeled a and b, with the hypotenuse, labeled c. The relationship is given by: a² + b² = c². In this case, we are given that one leg of the triangle is 8 and the hypotenuse is 10. We can use the Pythagorean theorem to find the value of the other leg as follows:
Solving for a:
a² + 8² = 10²
a² + 64 = 100
a² = 100 - 64
a² = 36
a = √36
a = 6
Therefore, the value of the other leg of the triangle is 6.