Question

Triangle ABC is right-angled at A. AD is perpendicular to BC. Given AB = 5 cm, BC = 13 cm, and AC = 12 cm, find the area of Triangle ABC and the length of AD.

Answer 1

To find the area of Triangle ABC, use the formula: Area = (1/2) * base * height. To find the length of AD, use the Pythagorean theorem.

Step-by-step explanation:

To find the area of Triangle ABC, we can use the formula: Area = (1/2) * base * height. Since Triangle ABC is right-angled at A, we can use AD as the height and BC as the base. So, the area of Triangle ABC is (1/2) * AD * BC.

To find the length of AD, we can use the Pythagorean theorem: c² = a² + b², where c is the hypotenuse (AC), and a and b are the other two sides (AB and BC). Solving for AD, we have AD = √(AC² - AB²).