7.
A hobbyist is making a toy sailboat. For the triangular sail, she wants the height h (in inches)
to be twice the length of the base b (in inches). Can the area of the sail be 10 in??
I

Respuesta :

Answer:

Yes

Step-by-step explanation:

Since the height is twice the length of base (b), we can say h= 2b.

Since the area of triangle = base x height /2, we can see if it is possible that the area of sail be 10in².

b(2b) /2 = 10

2b² / 2 = 10

b² = 10

b= √10

b = 3.1623in. or -3.1623in.

Even though b can be -3.1623, but since the length in real life cannot be negative, this answer is not valid. Still, 3.1623in. is possible in real life, so, the area of the sail boat can be 10 in².

Step by step explanation:

b(2b) /2 = 10

2b² / 2 = 10

b² = 10

b= √10

b = 3.1623in. or -3.1623in. (the answer is the 1st one because in real life there is no negative area).