Question

Consider triangle GHJ.

What is the length of line segment HJ?

A. 5 units

B. 5 sq. root 3 units

C. 10

D. 10 sq. root 3 units

Answer 1

5 with square root 3 

Answer 2

we know that

Applying the Pythagorean Theorem

`JG^(2) =HJ^(2)+HG^(2)`

solve for HJ

`HJ^(2)=JG^(2)-HG^(2)`

in this problem we have

`JG=10\ units\\ HG= 5\ units`

Substitute the values in the formula above

`HJ^(2)=10^(2)-5^(2)`

`HJ^(2)=100-25`

`HJ^(2)=75`

`HJ=√(75)=5√(3) \ units`

therefore

the answer is the option

B. 5 sq. root 3 units