Question

sides of triangle are 3cm, 8cm, & 6cm determine if it is a right triangle​

Answer 1

Answer:

the triangle is not a right-angled triangle is the correct answer.

Step-by-step explanation:

Given, sides of triangle

a=3 cm

b=6 cm

c=8 cm

For a triangle to be a right angle triangle, the square of largest side(hypotenuse) should be equal to the sum of squares of the other two sides.

c² =8² =64

a² +b² =3² +6² =9+36=45

Since, a² +b² is not equal to c²

Hence, the triangle is not a right-angled triangle.

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Answer 2

The given triangle is not a right angled triangle.

Given:

Three sides of a triangle $= 3cm, 8cm, 6 cm$

To determine: If the triangle is right-angled triangle.

Solution:

A right angled triangle has three sides: hypotenuse, base and perpendicular.

The longest side is the hypotenuse and the other two sides are base and perpendicular.

According to Pythagoras theorem:

"In a right angled triangle, the square of the hypotenuse is equal to the sum of squares of base and perpendicular."

Here the longest side is $8cm$ which should be the hypotenuse if the triangle is right-angled.

Now,

• $hypotenuse^{2} =base^{2} +Perpendicular^{2}$

• But here, $8^{2} \neq 3^{2} +6^{2}$

So, the triangle is not a right-angled triangle.