Question

Hurrry helpppp
Find the missing length for 2 of the pictures

Answer 1

Explanation:

So in this case you need to use the Pythagorean Theorem which states that:
`a^2+b^2=c^2` where c is the value of the hypotenuse, and a and b are the other two sides (the order in which you put them doesn't matter). So in this case I'll say a=8.4 (I could've also input it as b, doesn't matter) and c=10.5 (here it does matter, c is hypotenuse, it's not the other sides...)

So given this information we have the equation:

`(8.4 cm)^2 + b^2 = (10.5 cm)^2\\`

Square known values:

`70.56 cm^2 + b^2 = 110.25 cm^2`

subtract 70.56 cm^2 from both sides

`b^2 =39.69 cm^2`

Take the square root of both sides

`b=6.3 cm`

x=6.3 cm

Problem 3: a = 9 cm, c=20 cm

Input known values

`(9 cm)^2 + b^2 = (20 cm)^2`

Square known values

`81 cm^2 + b^2 = 400 cm^2`

Subtract 81 cm^2 from both sides

`b^2 = 319cm^2`

take the square root of both sides

`b\approx 17.86 cm`

so the side x is approximately 17.86 cm