Question

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

Answer:

Martins triangle is a right angled triangle with hypotenuse of 5cm adjacent of 4cm and opposite side of 3cm.

Step-by-step explanation:

A triangle that has one of his angles to be 90° is known as a right angled triangle. The triangle has one right angle and two acute angles. The three sides of the triangle are namely the hypotenuse (which is the longest side), the opposite and the adjacent. One of the side of the triangle can be written in terms of the other using the theorem called pythagoras. According to the theorem;

$hyp^{2} = opp^{2} + adj^{2}$

Based on the values of the sides given

hypotenuse = 5cm (being the longest side)

$hyp^{2} = 3^{2}+4^{2} \\ hyp^{2} = 25\\hyp = \sqrt{25}\\ hyp = 5cm$

This shows that the triangle is a right angled triangle as described by Martin since we are able to express one side in terms of the other.