Sam is determining the area of a triangle. In this triangle, the value for the height is a terminating decimal, and the value for the base is a repeating decimal. What can be concluded about the area of this triangle?

Question

vishweshshrimali5 · Answer

The area of a triangle is:

$$\large{\triangle = \cfrac{1}{2}bh}$$

anonymous · Answer

yes i know that im trying to see if it is rational or not.

vishweshshrimali5 · Answer

Now, since, a repeating decimal (for example 1/9 , 1/99, etc.) and a terminating decimal is always a rational number.

anonymous · Answer

oh

vishweshshrimali5 · Answer

Also, the product of 2 rational numbers is always rational.

Thus, the area of the triangle would be raitonal. :)

vishweshshrimali5 · Answer

*rational

anonymous · Answer

thanks :D

vishweshshrimali5 · Answer

np :)