- Side length = 7 cm,
- Side length = 5 cm.
- Side length = x
This is how it's done.
There's a <u>special formula</u> that <u>we can use</u> if we need to find the longest side of a right triangle. Fortunately, <u>all of these triangles are right ones! </u>Good.
The <u>formula</u> is. . This formula is known as Pythagoras' Theorem. This formula only works for right triangles.
Since we <u>have a and b</u>, we <u>can just put in the values</u> (7 for a and 5 for b), And then simplify!
| 7^2 simplifies to 49, and 5^2 simplifies to 25
. | add
| square root both sides
. | the <u>answer is given to 1 decimal place</u>, as the problem required
Once more, we're given two sides, and asked to find the third one,
which is still the longest side.
is still the formula used here
Put in 5 for a and 3 for b.
| 5^2 simplifies to 25, and 3^2 simplifies to 9
| add
| square root both sides
| once again it's given to one decimal place
This problem is solved the exact same way
, rounded to one D.P.
Here we have the longest side and one side length-:
| 4^2 simplifies to 16 and 7^2 simplifies to 49
| subtract 16 from both sides
| square root both sides