The length of the base of a triangle is 3 cm smaller than the length of its altitude. Its area is 104 cm2. What is the length of the base?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 13 cm.
Let the length of the altitude = h cm
Given that,
The length of the base of a triangle = (h - 3) cm
Area of the triangle = ½ * base * altitude = ½ * (h - 3) * h = 104
h2 - 3h = 208
h = 16 cm
The length of the base of a triangle = (h - 3) cm = 16 - 3 = 13 cm