Question

What kind of triangle would the measurements 7ft 15ft 17ft

Answer 1

This is an Obtuse triangle.

Explanation:

A Equilateral Triangle is a triangle where all sides are equal. Here all sides are different so it is not an Equilateral Triangle.

Isosceles triangle is a triangle that has 2 sides that are equal. Here all sides are different therefore this is not an Isosceles triangle.

A right angled triangle is a triangle whose sides satisfy the following equality.

Lets say A triangle has sides a, b and c. Where c is the highest value.

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

Lets substitute the values to the above equation to see whether it the triangle we are given satisfies the above equality,

`7^(2) +15^(2)` =
`49+225`=
`274`

`17^(2) =289`

Therefore,
`7^(2) +15^(2)` ≠
=
`274`≤
`17^(2) =289`

Therefore, This is an Obtuse triangle.