Question

In ΔIJK, ∠K \cong≅∠J, IJ = 9 and JK = 10. Find the length of KI.

Answer 1

Answer:

KI = 9

Step-by-step explanation:

Given that triangle IJK has two equal base angles, angle J and angle K, this meets the definition of an isosceles triangle.

An isosceles triangle has two equal angles. Therefore, the side lengths opposite each of the equal base angles of ∆IJK would be of equal lengths.

Given that IJ which corresponds to angle K = 9, and JK, which corresponds to the other 3 angle, therefore, the length of KI which corresponds to angle J would be the same length as the length of IJ = 9.

<k is congruent to <J

IJ = 9, therefore, IJ = KI

KI = 9.