In a ABC, if AB + BC = 10 cm, BC + CA = 12
CA + AB = 16 cm, what is its perimeter?
A) 19 cm (B) la
BC + CA = 12 cm,
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Step-by-step explanation:
AB+BC=10
BC=10-AB. (I)
BC+CA=12
10-AB+CA=12
CA-AB=2
CA=2+AB. (II)
CA+AB=16
2+AB+AB=16
2AB=14
AB=7
CA=2+AB
CA=2+7=9
BC=10-AB
BC=10-7
BC=3
perimeter of triangle ABC =sum of all sides
=7+3+9
=19
ans. is A) 19cm
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