The number of values of b for which there is an isosceles triangle with sides of length b + 5, 3b – 2 and 6 – b is
1. 0
2. 2
3. 1
4. 3

Question

The number of values of b for which there is an isosceles triangle with sides of length b + 5, 3b – 2 and 6 – b is 1. 0 2. 2 3. 1 4. 3

Ananya Verma · Answer

putting different values, when b=2 property of isosceles triangle is proved.

kothapallisagarvivek · Answer

Case (I) b + 5 = 3b - 2 => b = 7/2 So sides are 5/2 , 17/2 , 17/2 Case (II) b + 5 = 6 - b = b = 1/2 Sides 11/2 , -1/2 , 11/2 is Not possible Case (III) 3b - 2 = 6 - b 4b = 8 b = 2 7, 4, 4 two cases are possible therefore answer is 2

kothapallisagarvivek · Answer

Case (I) b + 5 = 3b - 2 => b = 7/2 So sides are 5/2 , 17/2 , 17/2 Case (II) b + 5 = 6 - b = b = 1/2 Sides 11/2 , -1/2 , 11/2 is Not possible Case (III) 3b - 2 = 6 - b 4b = 8 b = 2 7, 4, 4 two cases are possible therefore answer is 2.

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The number of values of b for which there is an isosceles triangle with sides of length b + 5, 3b – 2 and 6 – b is 1. 0 2. 2 3. 1 4. 3

The number of values of b for which there is an isosceles triangle with sides of length b + 5, 3b – 2 and 6 – b is
1. 0
2. 2
3. 1
4. 3

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