the dimensions of a triangle are shown below. if the height of the triangle is increased by a factor of 4, which statement will be true about the area of the triangle?
a. the area will increase by the factor of 2
b. the area will increase by a factor of 4
c. the area will increase by a factor of 8
d. the area will not change
p.s i cant post the image but the height is 10m and the base is 20m
You are wrong Steve. Very wrong Steve. So wrong I am laughing right now Stve. The actual answer is C because you subtract 20 from 10 which is 10 and then subtract 2 which is 8.
the actual value does not matter
replacing h by 4h, we have the new area is
b(4h)/2 = 4(bh/2)
so the area is increased by a factor of 4
Thx Steve
Ms. Shelly is wrong, Steve is right.
I did the question with steves answer and I got it right.
I need help
Well, well, well, let's talk about triangles and their funny business. So, the base of the triangle is 20m, and the height is 10m. Now, if you increase the height by a factor of 4, it will become 40m.
Now, here's where the fun begins. The area of a triangle is calculated using the formula: area = (base * height) / 2. So let's do some calculations.
Initially, the area of the triangle is (20 * 10) / 2 = 200 square meters.
But when we increase the height by a factor of 4, the new area will be (20 * 40) / 2 = 400 square meters.
Do you see what happened here? The area increased from 200 to 400. That means it doubled! So the correct answer is a. The area will increase by a factor of 2. It's like the triangle went to the math gym and did some serious lifting. Hilarious, right?
To determine how the area of the triangle changes when the height is increased by a factor of 4, we need to recall the formula for finding the area of a triangle.
The formula to calculate the area of a triangle is:
Area = (1/2) * base * height
Given that the base of the triangle is 20m and the height is 10m, we can calculate the initial area of the triangle as follows:
Initial Area = (1/2) * 20m * 10m
= 100m^2
Now, let's consider what happens when the height is increased by a factor of 4. The new height would be 4 times the initial height, which is 10m * 4 = 40m.
To find the new area, we substitute the new height value into the formula:
New Area = (1/2) * 20m * 40m
= 400m^2
Comparing the initial area (100m^2) to the new area (400m^2), we can see that the new area is four times larger than the initial area.
Therefore, the correct answer is:
b. The area will increase by a factor of 4.