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. –2 in. 0 in. 0.5 in. 2 in. 7.9 in.

Step-by-step explanation:

we have

Verify each case

case A)

this length does not make sense for a possible value of b

case B)

this length does not make sense for a possible value of b

case C)

Find the value of a

Verify the triangle inequality theorem

-----> is true

-----> is true

therefore

this length does make sense for a possible value of b

case D)

Find the value of a

Verify the triangle inequality theorem

-----> is true

-----> is true

therefore

this length does make sense for a possible value of b

case E)

Find the value of a

Verify the triangle inequality theorem

-----> is true

-----> is not true

therefore

this length does not make sense for a possible value of b

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)