Question

some cables are supported by a vertical post of height 47m The cables are attached from the top of the post to a point on level ground 18m from the foot of the post find the length of each cable​

Answer 1

Answer:

$\sqrt{2533}$ m

Step-by-step explanation:

Use Pythagoras theorem.

Answer 2

Answer:

Step-by-step explanation:

The triangle is circumscribed by a circle right?

Well for a triangle having side lengths a,b and c the circumradius R can be given by the formula -

R= abc/4∆

where ∆ is the area of the triangle.

(For a proof of the above equation, ask me in comments)

For equilateral triangle,

a=b=c= l (let)

∆ = √3l^2/4

=> l=√(4∆/√3) - i

R = l^3/4∆

=> l = (4∆R)^1/3 - ii

equating i and ii and raising both sides to the power 6 , we get

64∆^3/3√3 = 16∆^2R^2

=> ∆ = 3√3R^2/4

Plugging in the value of R = 10 cm

∆ = 129.90 cm^2