A right triangle has a base measuring 5 centimeters & a height of 12 centimeters. By what amount will the area of this triangle increase if both the base length & the height are tripled?
Answers:
a.) 240 square centimeters
b.) 270 square centimeters
c.) 480 square centimeters
d.) 540 square centimeters
area= 1/2 BH just triple the numbers you have for base and height and then plug it in
To find the increase in area of the triangle, we first need to find the area of the original triangle and then find the area of the new triangle after both the base length and the height are tripled.
The area of a triangle can be calculated using the formula:
Area = (base * height) / 2
For the original triangle:
Base = 5 centimeters
Height = 12 centimeters
Area of original triangle = (5 * 12) / 2 = 60 square centimeters
Now, let's triple the base length and the height to find the new dimensions of the triangle:
New base length = 5 cm * 3 = 15 centimeters
New height = 12 cm * 3 = 36 centimeters
Now, let's calculate the area of the new triangle:
Area of new triangle = (15 * 36) / 2 = 270 square centimeters
To find the increase in area, subtract the original area from the new area:
Increase in area = Area of new triangle - Area of original triangle
Increase in area = 270 square centimeters - 60 square centimeters
Increase in area = 210 square centimeters
Therefore, the increase in area of the triangle is 210 square centimeters. None of the given answer options match this value, so there seems to be an error in the answer choices.