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Sam’s tent has slanted sides that are each 5 feet long with a bottom 6 feet across. What is the height of his tent at its tallest point?
A) 3.0 ft
B) 3.5 ft
C) 4.0 ft
D) 5.0 ft

Sams tent has slanted sides that are each 5 feet long with a bottom 6 feet across What is the height of his tent at its tallest point A 30 ft B 35 ft C 40 ft D class=

Respuesta :

the answer is c 4.0 this is right 

Answer:

C) 4.0 ft  

Step-by-step explanation:

We will use the Pythagorean theorem to solve this.  It states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse; algebraically,

a²+b² = c²

The height splits the base in two, giving us a leg of 3.  The hypotenuse is 5.  This gives us:

3²+b² = 5²

9+b² = 25

Subtract 9 from each side:

9+b²-9 = 25-9

b² = 16

Take the square root of each side:

√b² = √16 = 4

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