Q. What is the length of the altitude from vertex A to side BC in triangle ABC with sides AB = 6, AC = 8, and BC = 10?
A.4.8
B.5
C.6
D.7.2
Solution
Using the area formula, Area = 1/2 * base * height. The area can also be calculated using Heron's formula, which gives 24. Thus, height = (2 * Area) / base = (2 * 24) / 10 = 4.8.
Q. What is the length of the altitude from vertex A to side BC in triangle ABC with sides 5 cm, 12 cm, and 13 cm?
A.5 cm
B.6 cm
C.12 cm
D.13 cm
Solution
The area of the triangle can be calculated as (1/2) * base * height. The area is 30 cm² (since it's a right triangle). Using area = (1/2) * 12 * height, we find height = 5 cm.