Question

Right triangle SPN and right triangle DWH are

shown. What other information is necessary
to show that SPN DWH using the
Hypotenuse-Leg Congruence Theorem?
S.
3h
"H

Answer 1

To use the Hypotenuse-Leg Congruence Theorem (HL), we need to show that the hypotenuse and one of the legs of one triangle are congruent to the corresponding parts of the other triangle.

In the given information, we have right triangles SPN and DWH. We know the length of SP, which is 3h. However, we do not have any information about the lengths of the hypotenuse or the other leg of either triangle.

To apply the HL Congruence Theorem, we need additional information, such as the lengths of the hypotenuses SP and DW or the lengths of the legs PN and WH. With this missing information, we cannot conclude that triangles SPN and DWH are congruent using the HL Congruence Theorem.