if in triangle ABC, angle A = angle B + angle C, then write the shape of triangle.
Answers
Step-by-step explanation:
Here, ∠A = ∠B + ∠C
And in ∆ABC, by angle sum property, we have
∠A + ∠B + C = 180°
⇒ ∠A + ∠A = 180°
⇒ 2∠A = 180°
⇒ ∠A = 90°
Hence, the given triangle is a right triangle.
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Answer:
the triangle is right angled
Step-by-step explanation:
A right angle is defined as the angle made by two rays at a vertex exactly equal to 90 degrees. That means, both the rays are perpendicular to each other.
The formula used for a right-angled triangle is the Pythagoras formula. It states the square of the hypotenuse is equal to the sum of the squares of the other two sides. The Pythagoras formula is (Hypotenuse)2 = (Base)2< + (Altitude)2. This formula has given the Pythagoras triplets such as 3, 4, 5.
Right, meaning "correct", and right, meaning "straight", do have the same root, but "right angle" derives from the second rather than the first. A right angle was described in ancient geometry as the meeting of two right, ie straight, lines, with regard to dimensional axes.
A+B+C=180
Since A=B+C, A+A=180
2A=180
A=90
Therefore, the triangle is right angled
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