Question

Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.

Round your answer to the nearest tenth if necessary.
K
19
J
с
58
N
42
M M
H Н
L

Answer 1

128.2

Explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:

`(OL)/(HK)=(ON)/(KJ)\\\\substituting:\\\\(OL)/(42)=(58)/(19) \\\\OL=(58*42)/(19) \\\\OL=128.2`