Question

Please help me this is geometry

Answer 1

Answer: The last option,
`8√(2)`

Explanation:

When looking at this triangle, there are two things we can note about it right away. First, it's a right triangle so we can use the Pythagorean theorem. Second, the two legs of the triangle are congruent (as shown by the dash lines) so both of them are equal to 8.

Using the Pythagorean theorem we will solve.

a² + b² = c²

(8)² + (8)² = c²

64 + 64 = c²

128 = c²

c =
`√(128)`

c =
`√(64*2)`

c =
`8√(2)`