Answer:
Step-by-step explanation:
Let the two same sides of an isosceles triangle be a and the base be b, then Perimeter of triangle=Sum of all the sides=15.7 inches
⇒a+a+b=15.7
⇒2a+b=15.7 (1)
Also, we know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, therefore
⇒a+a>b
⇒2a>b (2)
From (1), the value of a will be:
a=[tex]\frac{15.7-b}{2}[/tex]
Therefore, equation (2) becomes
[tex]\frac{15.7-b}{2}>\frac{b}{2}[/tex]
⇒[tex]15.7>2b[/tex]
⇒[tex]7.85>b[/tex]
Thus, the possible value of b will be 7.9in
Answer:
The correct answers are : 0.5 inches and 2 inches.
Step-by-step explanation:
perimeter of isosceles triangle =15.7 inches
Length of two equal sides = a
Length of third side = b
Perimeter = 2a + b = 15.7 inches
Given that 'the sum of the lengths of any two sides of a triangle must be greater than the length of the third side'.
2a > b
If b = 0.5
2a +0.5 inch= 15.7
2a=15.7
2a > b (possible)
If b=2 inches
2a +2=15.7
2a = 13.7 inch
2a > 2 inches (possible)
