Question

Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text.

Answer 1

The question is incomplete. The complete question is :

Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle ......

Solution :

A triangle is defined as a close figure with three sides. It is polygon having three angles. If one of the angle is a right angle, then that triangle is known as a right angled triangle.

By Pythagoras theorem, the line opposite to the right angle is called as hypotenuse and it is the longest side in a right angled triangle.

Let a and b be the other sides and let c be the hypotenuse.

So by Pythagoras theorem, we get that $c^2=a^2+b^2$

From the question, a = 3 cm

                               b = 4 cm

                                c = 5 cm

Therefore,

$5^2=3^2+4^2$

25 = 9 + 16

25 = 25

Thus the triangle is a right angled triangle.