Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

applying the triangle midsegment mo, mn, and on are the midsegments of …

Question

applying the triangle midsegment
mo, mn, and on are the midsegments of △jkl.
what is the perimeter of △jkl?
○ 6
○ 9.5
○ 11.5
○ 19

Explanation:

Step1: Recall Midsegment Theorem

A midsegment of a triangle is half the length of the third side.

Step2: Find JK length

MN = 2 is midsegment for JK, so JK = 2×2 = 4.

Step3: Find KL length

ON = 3.5 is midsegment for KL, so KL = 2×3.5 =7.

Step4: Find JL length

MO =4 is midsegment for JL, so JL=2×4=8.

Step5: Calculate perimeter

Perimeter = JK + KL + JL =4+7+8=19.

Answer:

19