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Don placed a ladder against the side of his
house as shown in the diagram below.
Ladder
20 ft
19.5 ft
X
Which equation could be used to find the
distance, x, from the foot of the ladder to the
base of the house?

Don Placed A Ladder Against The Side Of His House As Shown In The Diagram Below Ladder 20 Ft 195 Ft X Which Equation Could Be Used To Find The Distance X From T class=

Sagot :

midg0mia

Answer:

19.5^2 + x^2 = 20^2

Step-by-step explanation:

You would use the pythagorean theorem to find the missing side length

The equation that could be used to find the distance is [tex]x = \sqrt{ 20^2 - 19.5^2}[/tex].

What is Pythagoras theorem?

Pythagoras theorem states that the sum of the square of base and perpendicular of a right angled triangle is equals to the square of hypotenuse.

i.e.

H² = P² + B²

We have,

Height of house = 19.5 ft,

And,

Length of ladder = 20 ft

And,

Distance of foot of ladder from house = x

Now,

Using the Pythagoras theorem,

i.e.

H² = P² + B²

So,

According to the question,

20² = 19.5² + x²

i.e.

[tex]x = \sqrt{ 20^2 - 19.5^2}[/tex]

So,

This is the equation that could be used to find the distance.

Hence, we can say that the equation that could be used to find the distance is [tex]x = \sqrt{ 20^2 - 19.5^2}[/tex].

To know more about Pythagoras theorem click here

https://brainly.com/question/18883775

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