The area of the triangle ABC is 2.24 sq. meter.
The length of AC is 3.2 m
Step-by-step explanation:
- The given triangle ABC is a right angled triangle.
- The length of the side AB is 1.6 m which forms the height of the triangle.
- The length of the side BC is 2.8 m which form the base of the triangle.
(a) To find the area of the triangle ABC :
The formula for area of triangle = 1/2 × base × height
⇒ 1/2 × 1.6 × 2.8
⇒ 4.48/2
⇒ 2.24 square meter.
Therefore, the area of the triangle ABC is 2.24 sq. meter.
(b) To calculate the length of AC :
Use the Pythagorean theorem to find the third side(hypotenuse) of a right triangle,
⇒ AC² = AB² + BC²
It is given that, the length of AB is 1.6 and the length of BC is 2.8
⇒ AC² = (1.6)² + (2.8)²
⇒ AC² = 2.56 + 7.84
⇒ AC² = 10.4
Taking square root on both sides,
⇒ AC = √10.4
⇒ AC = 3.2
Therefore, the length of AC is 3.2 m
