what is the area of the triangle in the figure
what is the area of the triangle in the figure
The first leg is 4, the second leg is 6. Area= 4*6/2 = 24/2= 12
Your answer is 12mm^2
Logic geometry. Ah, textbooks.
Flip dat triangle!
Turn in onto its base.
My Geometry teacher used to say, "My students, ahh. Textbooks. They say, 'My pretty little students, here's a formula! I will give you numbers and you plug it in.' Then he would say, 'I don't like textbooks. I'm a rebel! So, I derive the formula.'" He made us derive it. But the formula is this: 1/2 x b x h. Why? The real formula is because two equal triangles are both HALF of a parallelogram, and a parallelogram has formula b x h. So it's 1/2 x b x h.
With that in mind, let's find the height first. Onwards!!
12 mm. What can we do with it? Oh, we know the rectangle has 8 mm!! 12 mm - 8 mm is 4 mm! The height is 4 mm. Onwards to the base!!
Hey, what do we know? The rectangle has length 10 mm. A part of it is 4 mm!! So, what's 10 mm - 4 mm? 6 mm. We got it!!
Plug in the formula!!
1/2 x 4 x 6 is????????
12.
And don't forget the mm!!