To find the measurement of side upper P upper Q (k), we can use the property of similar triangles where corresponding sides are proportional.
Since the triangles are similar, we can set up a proportion:
k/12 = 5/14
Cross multiply to solve for k:
14k = 60
k = 60/14
k ≈ 4.3 units
Therefore, the measurement of side upper P upper Q (k) is approximately 4.3 units.
Use the image to answer the question.
Two similar triangles in different orientations are shown next to each other. The triangles have corresponding marked angles. Triangle upper J upper K upper L is tilted to the left. It has base upper L upper J on the bottom measuring 4 units, side upper K upper L on the left measuring 12 units, and side upper J upper K on the right measuring 14 units. Triangle upper P upper Q upper R is pointing downward and titled slightly to the right. It has base upper P upper R on the top measuring 5 units, side upper P upper Q on the left labeled as k, and side upper Q upper R on the right measuring 15 units. The angles at upper K and upper Q are marked with one arc. The angles at upper L and upper R are marked with two arcs.
What is the measurement of k ? Express the answer as a decimal. Round to the nearest tenth, if necessary.
(1 point)
units
1 answer