Question

In the diagram, KLMN is a rectangle, and the two shaded regions are squares. If the length of KL is 6 centimeters, and the length of KN is 14 centimeters, which is closest to the length of ST in centimeters?​

Answer 1

15.2cm

Explanation:

From the given diagram;

KN = SN = 14cm

KL = NT = 6cm

Required

ST

Using the Pythagoras theorem;

ST² = SN² + NT²

ST² = 14² + 6²

ST² = 196 + 36

ST² = 232

ST = √232

ST = 15.2cm

Hence the length of ST is 15.2cm