Question

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7. If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options.

Answer 1

Answer:

Step-by-step explanation:

It is given that an isosceles triangle has two sides of length a and base b, then the perimeter of an isosceles triangle= Sum of all the sides

⇒a+a+b=15.7

⇒2a+b=15.7

⇒b=15.7-2a

Also, we know that he sum of the lengths of any two sides of a triangle must be greater than the length of the third side that means,

⇒a+a>b

⇒2a>b

Now, substituting the value of b in the above equation, we get

2a>15.7-2a

⇒4a>15.7

⇒a>3.925

Now, b=15.7-2a, therefore b=15.7-2(3.925)=15.7-7.85=7.85

Thus possible value of b is 7.85.

Answer 2

Answer:

0.5 AND 2 INCHES

Step-by-step explanation: