Everything Maths Grade 11

16.3 CHAPTER 16. GEOMETRY

Example 3: Similarity of Polygons

QUESTION

Polygons P QT U and P RSU are sim-

ilar. Find the value of x. P

T

S

Q

R

U

x

3 −

x

3

1

Polygons P QT U and P RSU are sim-

ilar. Find the value of x. P

T

S

Q

R

U

x

3 −

x

3

1

SOLUTION

Step 1 : Identify correspondingsides

Since the polygons are similar,

P Q

P R

=

T U

SU

∴

x

x + (3− x)

=

3

4

∴

x

3

=

3

4

∴ x =

9

4