Question

What are some real life examples of the Pythagorean theorem?

Answer 1

Hint: From the question we have been asked to find some real life examples where Pythagorean theorem is used. For solving this question we will take a few examples where it is used in real life and we will explain them briefly.

Complete step by step solution:
When carpenters want to construct a guaranteed right angle, they can make a triangle with sides \[3,4\] and \[5\] (units).
By the Pythagorean Theorem, a triangle made with these side lengths is always a right triangle, because
\[\Rightarrow {{3}^{2}}+{{4}^{2}}={{5}^{2}}\]
TV sizes are measured on the diagonal; it gives the longest screen measurement. We can figure out what size TV can fit in a space by using the Pythagorean Theorem as follows.
\[\Rightarrow {{\left( \text{space width} \right)}^{2}}+{{\left( space\text{ height} \right)}^{2}}={{\left( TV\text{ size} \right)}^{2}}\]
We can Calculate the length of staircase required to reach a window
Find the length of the longest item that can be kept in your room.
Maximum length of pencil or scale can be kept in your geometry box
we can find the original height of a tree broken due to heavy rain and lying on itself.

Note: Students must have good knowledge in the theorem. We should also remember that TVs are usually \[16\times 9\], so we'd likely want to measure just the width of the space, then use width \[\times \dfrac{9}{16}\] as the height of the space.