21,28,35 determine whether the triangle is acute, right,obtuse, or not a triangle.

Answer:

I believe it is an acute triangle but im not 100% sure

Step-by-step explanation:

The triangle with sides 21 , 28 and 35 is a right angle triangle

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is BC = 21

The height of the triangle AB = 28

The hypotenuse of the triangle is AC = 35

And , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

35² = 21² + 28²

On simplifying the equation , we get

1225 = 441 + 784

1225 = 1225

Hence , the triangle is a right angle triangle

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