Write the decimal form and state the kind of decimal expansion: 121/200
Read the Source/Text given below and answer any four questions:
There is a Diwali celebration in the DPS school Janakpuri New Delhi. Girls
are asked to prepare Rangoli in a triangular shape. They made a rangoli in the
shape of triangle ABC. Dimensions of ABC are 26 cm, 28 cm, 25 cm.
26cm
P
28cm
Page
Answers
Given :- They made a rangoli in the shape of triangle ABC. Dimensions of ABC are 26 cm, 28 cm, 25 cm. Garland is to be placed along the side of triangle PQR which is formed by joining mid - points of sides of triangle ABC.
To Find :- The length of garland ?
Answer :-
from image , we have,
- AB = 26 cm .
- BC = 28 cm .
- CA = 25 cm .
- P , Q and R are mid - points of AB, BC and CA .
so,
→ PR || BC { By converse of mid - point theorem. }
then,
→ AP / AB = PR / BC
→ AP / 2AP = PR / BC
→ (1/2) = PR/28
→ PR = 14 cm .
similarly,
→ PQ || AC { By converse of mid - point theorem. }
then,
→ BP / BA = PQ / AC
→ BP / 2BP = PQ / AC
→ (1/2) = PQ/25
→ PQ = 12.5 cm .
also,
→ RQ || AB { By converse of mid - point theorem. }
then,
→ CR / CA = RQ / AB
→ CR / 2CR = RQ / AB
→ (1/2) = RQ/26
→ RQ = 13 cm .
therefore,
→ The length of garland = PQ + QR + RP = 12.5 + 13 + 14 = 39.5 cm (Ans.)
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39.5 cm
Step-by-step explanation:
PQ+QR+RP
12.5+13+14
=39.5