Question

The area of triangle ABD is 50cm, and one of its sides is 10cm in length. Find one of the heights of the triangle.

Answer 1

To find the height of triangle ABD, we need to use the formula for area of a triangle:

Area of triangle = 1/2 × base × height

We know the area of the triangle is 50 cm², and one of the sides (which is also the base) is 10 cm. Let's substitute these values in the formula and solve for the height:

50 = 1/2 × 10 × height

Multiplying both sides by 2, we get:

100 = 10 × height

Dividing both sides by 10, we get:

height = 10 cm

Therefore, the height of triangle ABD is 10 cm.

Answer 2

10cm

Explanation:

If you want to find one of the heights of the triangle, you need to use some math magic. The magic spell is:

A = (1/2) * b * h

where A is the area, b is the base, and h is the height. Don't ask me why, it just works.

Now, we know that the area of triangle ABD is 50 cm and one of its sides is 10 cm. We can pretend that this side is the base of the triangle. Why? Because it makes our life easier. Trust me.

Then we put these numbers into the magic spell and we get:

50 = (1/2) * 10 * h

Now we need to solve for h, which is the height we want. To do that, we need to do some algebra. Don't worry, it's not that hard. Just follow these steps:

- Multiply both sides by 2. This gives us:

100 = 10 * h

- Divide both sides by 10. This gives us:

10 = h

- Celebrate! We found the height!

So, one of the heights of the triangle is 10 cm. Isn't math fun?