SOLUTION: 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.
Which lengths make
Algebra.Com
Question 1129877: 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.
Which lengths make sense for possible values of b? Check all that apply.
–2 in.
0 in.
0.5 in.
2 in.
7.9 in.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
0.5in and 2in are both possible.
For a proper triangle with sides x,y,z, the triangle inequalities must hold: z < x+y, x < y+z, y < x+z
0in is the degenerate case where one side has zero length (so it collapses to a line, and is not a proper triangle). Also ≯
7.9in is too long for b, as the other sides will be (15.7-7.9)/2 = 3.9in and it won't form a closed figure. Notice ≯
-2in is nonsensical, a >0, b>0 must be true.
RELATED QUESTIONS
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of... (answered by josgarithmetic)
a flag in the shape of an isosceles triangle has a base that is 3.5 inches shorter than... (answered by CharlesG2)
As isosceles triangle has two sides of equal length. If the third side of an isosceles... (answered by Fombitz)
Find the perimeter of the isosceles triangle that has a base of 8 inches and the other 2... (answered by Cromlix,tasmart)
An isosceles triangle whose base is one-half as long as the other two equal sides has a... (answered by Cromlix,mananth)
Give the measure of the base of an isosceles triangle whose perimeter is 60 cm and one of (answered by ikleyn)
An isosceles triangle two sides of length 28 cm and a base of 35 cm . the base of a... (answered by Fombitz)
The base of an isosceles triangle is 14 in. less than the length of the equal sides. If... (answered by ptaylor)
The base of an isosceles triangle is 14 in. less than the length of the equal sides. If... (answered by Edwin McCravy)