Question

I need some help to classify this triangle pls

Answer 1

We conclude that
`√(5), √(5),√(10)` is an isosceles right triangle.

Explanation:

Given the sides of a triangle

`√(5), √(5),√(10)`

Given that the two sides are equal. Thus, it must be an isosceles triangle.

Let us check whether it is an isosceles right triangle or not.

We know that for a right-angled triangle with sides a, b and the hypotenuse c is defined as:

`c=√(a^2+b^2)`

Given

`a=√(5)`

`b=√(5)`

now substituting
`a=√(5)` and
`b=√(5)` in the equation

`c=√(a^2+b^2)`

`c=\sqrt{\left(√(5)\right)^2+\left(√(5)\right)^2}`

`c=√(10)`

Thus,

`a=√(5)`

`b=√(5)`

`c=√(10)`

Which satisfies the given side lengths
`√(5), √(5),√(10)`

Therefore, we conclude that
`√(5), √(5),√(10)` is an isosceles right triangle.