Question

.
In the given figure, AC = 10 m. BD = 15 m
AD = 22 m Find BC.
A 1m
B 2m
C 3m
D 4m
​

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore BC=3\:m}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Hiven : } \\ \implies AC = 10 \: m \\ \\ \implies BD = 15 \: m \\ \\ \implies AD = 22 \: m \\ \\ \underline \bold{To \: Find: } \\ \implies BC = ?$

• According to given question :

$\bold{AD\: is \: a \: straight \: line : } \\ \implies AD = AC+ BD - BC\\ \\ \implies 22= 10 + 15 - BC \\ \\ \implies 22 - 25 = - BC\\ \\ \bold{\implies BC = 3 \: m }\\\\\bold{Verification}\\\implies AD=AC+BD-BC\\\\\implies 22=10+15-3\\\\\implies 22=25-3\\\\\implies 22=22\\\bold{Verified}$

Answer 2

Step-by-step explanation:

AC = 10 m

BD = 15 m

AD = 22 m

so, Now AB = AD - BD

AB = 22 - 15 = 7 m

again, CD = AD - AC

CD = 22 - 10 = 12 m

hence, BC = 22 - (7+12)

= 22- 19 = 3m