Answer:
Knowing that 3²+4²=5, draw the 3cm side and 4cm side with right angle between them. The 5cm side will fit to form a right triangle.
Option D is correct option.
Explanation:
We are given sides: 2cm, 3cm, 4cm and 5cm. We need to choose the correct option according to converse of the Pythagorean Theorem
The converse of the Pythagorean Theorem is:
If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
Now, if we sum the square of 2 smaller sides, it should be equal to square of longest side.
So, if add:
(3)^2+(4)^2=(5)^2
We get: 9+16=25
25=25
So, the sides of triangle are 3cm, 4cm and 5 cm.
Now, the longest side will be hypotenuse so, 5cm is hypotenuse, 3 cm and 4cm can be base and perpendicular.
And the angle will of 90 degrees will be between base and perpendicular.
So, the correct option is:
Knowing that 3²+4²=5, draw the 3cm side and 4cm side with right angle between them. The 5cm side will fit to form a right triangle.
Option D is correct option.