Question

Write what does each letter of area of a triangle = √( − )( − )( − ). Indicates?​

Answer 1

Answer:

Step-by-step explanation:

Intuition for why the area of a triangle is A=\dfrac{1}{2}bhA=  

2

1

​

bhA, equals, start fraction, 1, divided by, 2, end fraction, b, h

To see why the formula makes sense, drag the dot all the way to the right:

Whoa! You made a rectangle that's twice as big as the triangle! The area of the rectangle is bh=4\times 5 = 20bh=4×5=20b, h, equals, 4, times, 5, equals, 20 square units, so the area of the triangle is \dfrac 12 bh = \dfrac 12 \times 4 \times 5 = 10  

2

1

​

bh=  

2

1

​

×4×5=10start fraction, 1, divided by, 2, end fraction, b, h, equals, start fraction, 1, divided by, 2, end fraction, times, 4, times, 5, equals, 10 square units.

Key intuition: A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height.

Practice problem 1

What is the area of the triangle?

Drag the dot to help you remember the formula.