Question

Need help with this math question

Answer 1

Answer:

x = 3.1 ft

Step-by-step explanation:

Use Pythagoras' Theorem to find the base of the triangle. The base of the triangle is half of 'x'. Let's call the base 'y' for now.

To find 'y' we must use this formula,

$y^{2} = c^{2} -b^{2}$

'c' is the hypotenuse, the longer side, and 'b' is the other short side.

Sub in the numbers for 'c' and 'b',

$y^{2} = 2.1^{2} -1.4^{2}$

               = 2.45

Square root both sides to get 'y' by itself,

y = 1.5652.....

Remember that 'y' is half of x? Simply multiply 'y' by 2 to get an answer for 'x',

x = 1.5652.... x 2

  = 3.1 ft (1 d.p. nearest tenth)

Hope this helped!!