In the right-angled triangle abc, ac is the hypotenuse with length 8cm, and ab=6 cm. Work out the length of bc, giving your answer as a simplified surd.

Step-by-step explanation:

Hypotenuse = AC = 8 cm

AB = 6 cm

 BC² + AB² = AC²

BC² = AC² - AB²

       = 8² - 6²

       = 64 - 36

       = 28

BC = 5.29 cm

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step-by-step explanation:

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x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)