Question

Help pls!!

ABCD is a rectangle. What is the value of x?

a) 9 meters
b) 28 meters
c) 33 meters
d) 65 meters​

Answer 1

C) 33 meters

Explanation:

In this question, we need to find the value of the variable "x".

To do this, we must use the Pythagorean theorem: a² + b² = c²

Plug in your values and solve:

56² + b² = 65²

3,136 + b² = 65²

3,136 + b² = 4,225

Subtract 3,136 from both sides.

b² = 1,089

To cancel out the exponent, we would square root both sides.

√b² = √1,089

b = 33

This means that C) 33 meters will be your answer.

Answer 2

Explanation:

For this, we need to apply the Pythagoras theorem.

What this states?

It states that the sum of the squares of base and height of a right angle Triangle is equal to the square of hypotenuse of the triangle.

So, according to figure, a rectangle also has 90° angle.

65 being hypotenuse, 56 being base, we need height.

`\rm{Height^2 = Hypotenuse^2 - Base^2}`

`\rm{Height^2 = (65)^2 - (56)^2}`

`\rm{Height = √( 4225- 3136)}`

`\rm{Height = 33 \ metres}`

And height is equal to x. So, 33 is the answer.