3D Pythagorean Theorem

Geometry Level 2

As you can see the dimensions in the figure, you have to calculate the line segment $d$ . Solve to the tenth only.

2 solutions

Sam Bealing
May 25, 2016

By Pythagoras' Theorem our answer is:

$\sqrt{6^2+10^2+16^2}=\sqrt{361}=\boxed{19}$

I noticed this during the 1st time I was taught the long way this is so much quicker and easier.

Phoebe Shobe - 2 years, 9 months ago

Abdullah Mahmood
May 24, 2016

First calculate the length of line segment $a$ , which is:

$a^2=10^2+6^2 \\ \Rightarrow a=\sqrt{136}$

Now, again using the pythogoras theorem, we have $d^2=15^2+a^2 \\ \Rightarrow d^2=225+136 \\ \Rightarrow d=19. \square$

Please don't write your text in all the capital letters. I've edited your solution. Thanks!

Sandeep Bhardwaj - 5 years ago

no the solution is wrong

Abdullah Mahmood - 5 years ago

Can you explain what's wrong?

Sandeep Bhardwaj - 5 years ago