If a, b, c are sides of a triangle and a2+b2=c2, name the type of triangle (obtuse angled triangle, acute angled triangle, right angled triangle, equilateral triangle)
Answers
Answer:
it is a right angled triangle (according to the Pythagoras theorem but it is equilateral according to the text book
Answer:
if a² + b² = c², the triangle is a right-angled triangle
Step-by-step explanation:
If a, b, and c are sides of a triangle and a² + b² = c², then the triangle is a right-angled triangle. This is because the equation a² + b² = c² is the Pythagorean theorem, which states that in a right-angled triangle, the sum of the squares of the two shorter sides (a and b) is equal to the square of the longest side (c), which is the hypotenuse.
In an acute-angled triangle, all three angles are less than 90 degrees, and the Pythagorean theorem does not hold true. In an obtuse-angled triangle, one of the angles is greater than 90 degrees, and again, the Pythagorean theorem does not hold true. An equilateral triangle has all three sides equal in length, but the Pythagorean theorem does not apply to it, as it is not a right-angled triangle.
Therefore, if a² + b² = c², the triangle is a right-angled triangle.
for more question on Right angled triangle
https://brainly.in/question/14084091
#SPJ3