Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 4 - Congruent Triangles - 4-5 Isosceles and Equilateral Triangles - Practice and Problem-Solving Exercises - Page 254: 17

Answer

$ML = \frac{5}{2}$

Work Step by Step

If the two legs of a triangle are congruent, then that triangle is an isosceles triangle. Since $\angle JKM$ and $\angle LKM$ are congruent, that means that $\overline{KM}$ bisects $\overline{JL}$. This means that both $\overline{MJ}$ and $\overline{ML}$ are the same length and are each half of the length of $\overline{JL}$. Let's set up that equation to find the length of $ML$. Let $x$ equal the length of either $ML$ or $MJ$. $2x = 5$ Divide each side by $2$ to solve for $x$: $x = \frac{5}{2}$ $ML = \frac{5}{2}$
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