Arnob may want to borrow his cousin’s tent, which is shown below.

2 right triangles share a side to form a larger triangle. Each triangle has a side length of 4 feet and hypotenuse of 9 feet. The shared side is x.

He needs to determine x, the center height of the tent, to determine if it will be large enough for his camping trip. What is the center height of this tent, to the nearest tenth of a foot?
4.1 feet
8.1 feet
9.8 feet
12.0 feet

Respuesta :

The center height of this tent is 8.1 feet

Step-by-step explanation:

Shared side = x feet

Side length = 4 feet

Hypotenuse = 9 feet

As both the triangles are right angled, we will used pythagoras theorem to find the length of shared side.

[tex]a^2+b^2=c^2\\(4)^2+(x)^2=(9)^2\\16+x^2=81\\x^2=81-16\\x^2=65\\[/tex]

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{65}\\x=8.06[/tex]

Rounding off to nearest tenth

x = 8.1 feet

The center height of this tent is 8.1 feet

Keywords: Pythagorean theorem, square root

Learn more about square root at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

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Answer:

8.1 feet

Step-by-step explanation:

I just took the quiz on edge