Question

the leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the triangle? (4 points)

Answer 1

The length of the other leg of triangle is
`4√(7)\ units`

Explanation:

we know that

A right triangle must satisfy the Pythagoras theorem

`c^(2)=a^2+b^2`

where

c is the hypotenuse (the greater side)

a and b are the legs

we have

`a=3\ units\\c=11\ units`

substitute in the formula and solve for b

`11^(2)=3^2+b^2`

`121=9+b^2`

`b^2=121-9`

`b^2=112`

`b=√(112)\ units`

simplify

`b=4√(7)\ units`