Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

The diagonal of a square is 2 cm.
What is the length of the side of this square?
Give your answer as an exact surd in its simplest form

Sagot :

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The diagonal splits the square into 2 right triangles, with hypotenuse the diagonal of length 2 and congruent sides x

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then

x² + x² = 2²

2x² = 4 ( divide both sides by 2 )

x² = 2 ( take square root of both sides )

x = [tex]\sqrt{2}[/tex] ← length of side of the square

chanboromey07

Step-by-step explanation:

d=a√2

a=d/√2

a=2×√2

a=√2

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.