hey so i'm in 8th grade and am excelled in math... i'm in 10th grade math(geometry) and my teacher gave us a desmos activity (ki
nda like a pretest) and well there was this one question to find "X" and well i tend to over complicate things and did that here. in the picture you will see in the bottom right that i place 2 30 degree angles and assumed that it was split in half by the middle line, well my teacher saw that and told me that my answer was right, but he wanted to know how i did it, he saw i assumed those angles and kept on looking at it, well basically my question is "is there a principle describing that this is right? or some equation/method?"
1 answer:
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Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
Take positive square root of both sides
Split:
Recall that the side length (l) is rational.
However, is irrational.
So, the product of l and will be irrational
Hence:
The diagonal is irrational