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. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle is ----- and ------ .

Answer 1

is 25

Explanation:

Answer 2

Martin drew a right angle triangle

Explanation:

A triangle is a polygon with three sides and three angles. If it has one right angle and two acute angles it is called a right angled triangle.

According to Pythagoras, a right angle has a hypotenuse and two legs. If c is the hypotenuse and a,b are the legs, the sides of the hypotenuse can be found using:

c² = a² + b²

Since the sides are 3 cm, 4 cm and 5 cm. The hypotenuse is the side opposite to the right angle and it has the largest magnitude. 5 cm is the hypotenuse side while 3 cm and 4 cm are the legs. Therefore from Pythagoras theorem:

5² = 3² + 4²