Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are acute, scalene, obtuse, equilateral, isosceles and right angled triangle.
For a right angled triangle, the square of the longest side (hypotenuse) is equal to the sum of the square of the remaining two sides.
For an obtuse triangle, the square of the longest side is greater than the sum of the square of the remaining two sides.
For an acute triangle, the square of the longest side is less than the sum of the square of the remaining two sides.
In triangle JKL:
J² + L² = 3² + 4² = 25
K² = 6² = 36 > 25 (J² + L²)
Hence triangle JKL is an obtuse triangle
In triangle XYZ:
X² + Y² = 4² + 4² = 32
Z² = 5² = 25 < 32 (X² + Y²)
Hence triangle XYZ is an acute triangle.
