Everything Maths Grade 10

d)

x

14

P

S T

Q R

y

60 ◦

40 ◦

e)In the following diagramP Q=2,5 andRT=6,5.

y

x

66 ◦

Q

S

R

P

T

12.Show thatMis the mid-point ofABand thatM N=RC.

A

B R C

M N

13.In the diagram below,Pis the mid-point ofN QandRis the mid-point ofM Q. The segment inside of
the large triangle is labelled with a length of 2 a+ 4.

Q M

N

R

P

 2 a+4

a)Calculate the value ofM Nin terms ofa.

b)You are now told thatM Nhas a length of 18. What is the value ofa? Give your answer as a

fraction.

Chapter 7. Euclidean geometry 267