Question

What is the length of the diagonal of the rectangle

Answer 1

To find the hypotenuse you must use the Pythagorean theorem c^2= a^2 + b^2.
so:
c^2 = 17^2 + 12.75^2  
therefore 
c^2 = 289 + 162.5625
c = sqrt of 451.5625 
SOOOO your answer is 21.25

Answer 2

The length of the diagonal is equal to 21.25 units.

Data;

• width = 17
• length = 12.75
• diagonal = x

Pythagorean's Theorem

To solve this question, we can take one side of the diagonal and it becomes a right angle triangle and we can use Pythagorean's theorem on this.

$x^2 = y^2 + z^2$

This basically translates to the square of the diagonal is equal to the sum of squares of it's two sides.

Let's substitute the values into the formula and solve.

$x^2 = y^2 + z^2\\x^2 = 17^2 + 12.75^2\\x^2 = 289 + 162.56\\x^2 = 451.56\\x = \sqrt{451.56}\\x = 21.25 units$

The length of the diagonal is equal to 21.25 units.

Learn more on Pythagorean theorem here;

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