Question

TRIANGLE


Physical fitness:


Madhu is very particular about her health. She usually goes to a nearby park for jogging. She

knows jogging helps to build strong bones, as it is a weight bearing exercise to strengthen

muscles improve cardiovascular fitness and burn plenty of kilojoules to help maintain a healthy

weight. The park has two similar triangular jogging paths as shown. The dimensions of the

inner path are 300m, 350m, 550m.The shortest side of the outer path is 600m.

Based on your understanding of the above case study, answer all the five questions below:

i) Find the length of the longest side of the outer path.
a)1000m b) 700m c)1100 m d)600 m

ANS÷ 1100m


ii) What can we say about the ratio of the perimeter of inner path to outer path?

a) 1/2 b)1/3 c)1/4 d)1/5

ANS÷1/2


iii) In which criteria the two triangular paths are similar?

a)SAS b) AAA c) SSS d) None of these

ANS÷SSS



iv) The distance along Talbot Road from the Triangle Park entrance to the Walkthrough is 800

yards. The distance along the Talbot Road from the Walkthrough to Clay Road is 1408 yards.

The distance along Woodbury Avenue from the walkthrough to Clay Road is 1760 yards. If the

walkthrough is parallel to Clay Road. Find the distance from the entrance to the walkthrough

along Woodbury.

a) 1110 yards

b) 1100yards

c) 1000yards

d) 1111yards

ANS÷1000yard


v) If the park is like the figure given below and FG = EG, BE =15cm, CF = 20cm, AE = 9cm,

DF = 12cm, then which triangles are similar?

a)∆ABE~∆FGE

b)∆ABE~∆DCF

c)∆DCF~∆EGF

d) None of these.

ANS÷b)∆ABE~∆DCF​

Answer 1

EXCEPTION D AND A ALL ARE SIMILAR TRIANGLE