Question

Find the length of the line d pictured below
Use the pythagreon theorem

Answer 1

d = 19

Explanation:

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FACTS TO KNOW BEFORE SOLVING :-

For a cuboid with dimensions l , b & h ,

Diagonal of a cuboid =
`\sqrt{l^(2) + b^(2) + h^(2)}`

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According to the question ,

l = 10 ; b = 6 ; h = 15

So , Diagonal of the cuboid (d) =

`d = \sqrt{10^(2) + 6^(2) + 15^(2)} = √(100 + 36 + 225) = √(361) = 19`

Answer 2

The length of the line d in the picture attached is: d = 19

How to use Pythagoras Theorem?

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

Using Pythagoras theroem, we have the base diagonal as:

c = √(10² + 6²)

c = √136

Using Pythagorean theorem again, we have:

d = √(15² + (√136)²)

d = √361

d = 19