Question

Suppose you have a triangle measuring 3, 4, and 5, what type of triangle is that? Find it's perimeter and area?

Answer 1

`3-4-5` is a Pythagorean Triplet making this a Right Triangle with a Perimeter of `12` and an Area of `6`.

Explanation:

The perimeter is found by adding the three sides
`3+4+5= 12`

Since the three sides of the triangle follow the Pythagorean Theorem

`3^2 + 4^2=5^2`

`9+16=25`

This triangle is a right triangle.
This makes the base = 4 and the height =3

`A = 1/2 bh`
`A = 1/2 (4)(3)=`
`A= 6`

The Pythagorean Triplets include

`3-4-5` and multiples of this ratio such as:
`6-8-10`
`9-12-15`
`12-16-20`
`15-20-25`

`5-12-13` and multiples of this ratio such as:
`10-24-26`
`15-36-39`

`7-24-25` and multiples of this ratio.

`8-15-17` and multiples of this ratio.