Question

The longest side of a right angle triangle

is √46cm
One of the shorter sides has a length of
√7cm
What is the perimeter of the triangle?

Answer 1

The exact answer would be:

`√(39)` +
`√(7)` +
`√(46)` an approximate answer to the nearest whole number would be 7

Explanation:

To find the missing side we would use the Pythagorean Theorem.

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

`√(7) ^(2)` +
`b^(2)` =
`√(46) ^(2)`

7 +
`b^(2)` = 46 Subtract 7 from both sides

`b^(2)` = 39

`\sqrt{b^(2) }` =
`√(39)`

b =
`√(39)`

The perimeter, the distance around the triangle, is
`√(39)` +
`√(7)` +
`√(46)`