Question

Ava wants to know the distance JK across a pond. She locates points as shown. She says that the distance

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Ava wants to know the distance JK across a pond. She locates points as shown. She says that the distance  across the pond must be 160 ft by the SSS Triangle Congruence Theorem.

Solution:

Two triangles are said to be congruent if they their three sides are equal and their three angles are equal.

From the image attached we can say that triangle LMN and triangle JNK are congruent since they have they share the same angle (∠N) and both of their sides are equal. This is the side, angle, side (SAS) congruence theorem.

Hence since they are congruent, JK = 160 feet by the SAS triangle congruence theorem.