Can 2 Triangles With the Same Base & Height Not Be Congruent?

"Congruent" is a term used to describe a triangle that meets very specific characteristics. Find out if two triangles with the same base and height can or cannot be congruent with help from a high school math tutor in this free video clip.

Part of the Video Series: Math & Geometry Tips

Video Transcript

Hi, I'm Charlie Kasov. I'm a math teacher and today we're going to answer the question, can two triangles with the same base and height not be congruent? And the answer is yes. They can not be congruent. Let's take a look at a right triangle with a base of four and a height of five. Well, here we have a 90 degree angle, but we could also have a triangle that is, for example, equilateral or scalene. Let's call this scalene. And we say, here we have a height of five and a base of four. Well, these are most certainly not congruent. They have the same area, because five times four divided by two is 10, and here five times four divided by two is 10. But, here we have a ninety degree angle, and here we do not. So, that would mean that the other side lengths are not equal. This, for example, would be five squared plus four squared, so root 41. And here, this looks like it's more like isosceles or scalene. So, this could be seven; this could be eight. It definitely is not root 41. So, I'm Charlie Kasov, and you just learned that two triangles with the same base and height can still not be congruent. Thanks a lot.

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