Hence, HI is √97 in
Step-by-step explanation:
We can clearly see in the figure that a right-angled triangle is formed by the vertices H, K and I
Here,
HK = Perpendicular = 4 in
KI = Base = 9 in
HI = Hypotenuse = ?
We will use Pythagoras theorem to find the HI
So,
[tex]H^2=P^2+B^2\\(HI)^2=(HK)^2+(KI)^2\\Putting\ values\\(HI)^2=(4)^2+(9)^2\\(HI)^2=16+81\\(HI)^2=97[/tex]
Taking square root on both sides
[tex]\sqrt{(HI)^2}=\sqrt{97}\\HI=97\ in[/tex]
Hence, HI is √97 in
Keywords: Triangle, Pythagoras theorem
Learn more about triangle at:
- brainly.com/question/1859222
- brainly.com/question/1993757
#LearnwithBrainly
