Question
A quadrilateral is constructed using 2 congruent triangles. Two of its sides are 2 and 3 units. What are the possible values of the 3rd side?
Answer: Option A
:
A
Sum of the two sides of the triangle is greater than 3rd side
let, 1st side be a=2, 2nd be b=3, 3rd be c.
As per above condition,
a+b>c ⇒ 2+3>c⇒ c<5
a+c>b ⇒ 2+c>3⇒ c>1
so,1<c<5units
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:
A
Sum of the two sides of the triangle is greater than 3rd side
let, 1st side be a=2, 2nd be b=3, 3rd be c.
As per above condition,
a+b>c ⇒ 2+3>c⇒ c<5
a+c>b ⇒ 2+c>3⇒ c>1
so,1<c<5units
Was this answer helpful ?
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