Question

5. a) Verify that the altitude from vertex J

bisects side KL in the triangle with
vertices J(-5, 4), K(1, 8), and L(−1, −2).
b) Classify AJKL. Explain your reasoning.

Answer 1

a) Yes, the altitude from vertex J bisects side KL in the triangle with vertices J(-5, 4), K(1, 8), and L(−1, −2).

b) AJKL is an isosceles triangle. This is because side KL has the same length, which is 6 units.

Explanation:

An isosceles triangle has two sides of equal length and two equal angles opposite to those sides. The angles between the two equal sides are called the base angles of the triangle. In the case of AJKL, the two equal sides are KL and JK, which have a length of 6 units. The two equal angles opposite to these sides are angle AJK and angle ALK.