Please help! I really don’t get this and it would be really helpful if you can give me the answers for these.

for the first triangle, the length of the third side is 37 units

for the second triangle, the length of the third side is 29 units

Explanation:

Given the triangles in the attached image.

Let us apply the Pythagorean theorem to solve for the third side.

For the first triangle;

substituting the values;

For the second triangle;

substituting the values;

Therefore, for the first triangle, the length of the third side is 37 units

for the second triangle, the length of the third side is 29 units