Answer:
Shown in explanation.
Step-by-step explanation:
These type of problems requires the knowledge of Pythagorean Theorem
Pythagorean Theorem: A^2(shorter side 1)+B^2(shorter side 2)=C^2(Longest side also known as hypotenuse)
So, you would just need to know the square roots of the square.
Triangle 1. First square: [tex]\sqrt{36}[/tex]=6 So side length of first one is 6 yd.
Second square: [tex]\sqrt{18}[/tex]=4.24 So side length of second square is 4.24 yd.
Third square: 36-18=18 So the side length is the same as the second square which is 4.24 yd.
Triangle 2. Repeat the process for all of these problems.
First square: [tex]\sqrt{125}[/tex]=about 11.18.
Second square: [tex]\sqrt{100}[/tex]=10.
Third square: 125-100=25. So, [tex]\sqrt{25}[/tex]=5.
Triangle 3. This is an isosceles triangle meaning 2 sides are the same length.
First and Second square are the same. [tex]\sqrt{32}[/tex]=5.66.
Third square=32+32=64. So, [tex]\sqrt{64}[/tex]=8.
