PLSSSS HEELLPPP..........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?
A. 4.1 feet
B. 8.1 feet
C. 9.8 feet
D. 12.0 feet

Respuesta :

The center height is 8.1 feet

Step-by-step explanation:

Given,

Side length of each triangle = 4 feet

Hypotenuse of each triangle = 9 feet

Shared side = x

As the triangles are right angled, we will use pythagoras theorem

a = 4 , b = x , c= 9

[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

x=8.1

The center height is 8.1 feet

Keywords: square root, triangle

Learn more about triangles at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

Answer:

B. 8.1 ft

Step-by-step explanation:

I just took the quiz on edge

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