Question

is the angles 47 degree 72 degree and 64 degree form a right angled triangle justify your answer?​

Answer 1

Answer:

no

Step-by-step explanation:

in a right angled triangle one of the angle should be 90 degree

but there is no 90 degree angle

so it cannot form a right angeled triangle

even it cannot form a simple triangle

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Answer 2

• The angles 47°, 72° and 64° does form a right angled triangle and also does not form any trangle .

To Find :- Does the angles 47°, 72° and 64° form a right angled triangle or not ? justify your answer .

Concept used :-

• A right angled triangle :- A triangle in which one angle is a equal to 90°(right angle) .
• Angle sum property :- Sum of all three angles of a triangle is equal to 180° .

Solution :-

First case :-

→ First angle of given triangle = 47°

• First angle is not equal to 90° .

→ Second angle of given triangle = 72°

• Second angle is not equal to 90° .

→ Third angle of given triangle = 64°

• Third angle is not equal to 90° .

As we can see that, none of the angle of given triangle is equal to 90° . Therefore, we can conclude that, triangle with given angles does not form a right angled triangle .

Case 1) :-

→ First angle of given triangle = 47°

→ Second angle of given triangle = 72°

→ Third angle of given triangle = 64°

So,

→ First angle + Second angle + Third angle = 180° { By angle sum property of a triangle }

→ 47° + 72° + 64° = 180°

→ 183° ≠ 180°

As we can see that, sum of all three angles of given traingle is not equal to 180° . Therefore, we can conclude that, the given triangle is not possible to construct.

Hence, we can conclude that, the angles 47°, 72° and 64° does form a right angled triangle and also does not form any trangle .

Learn more :-

In the figure along side, BP and CP are the angular bisectors of the exterior angles BCD and CBE of triangle ABC. Prove ∠BOC = 90° - (1/2)∠A .

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