Question

BC = 36; D = 15. What is the value of BD - AC.
B
A
BD - AC =

Answer 1

BD - AC = 0

Explanation:

Given that:

BC = 36 , CD = 15 and BD = x

As these are forming right angled triangle,

Using Pythagorean theorem,

`(BD)^2+(CD)^2=x^2\\(36)^2+(15)^2 = x^2\\1296 + 225 = x^2\\1521 = x^2\\`

Taking square root on both sides

`√(x^2)=√(1521)\\x=39`

As the given shape is rectangular, the sides parallel to each other will have same values.

AB = 15 , AD = 36 and AC = x

`(15)^2+(36)^2 = x^2 \\225 + 1296 = x^2 \\1521 = x^2 \\x = 39`

Now,

BD - AC = 39 - 39 = 0

Hence,

BD - AC = 0