Use each of the three corresponding base and height pairs to find the area of the triangle. Why is the area the same for each calculation?
42 cm
15 cm
30 cm
21 cm
7.5 cm
10.5 cm
Question content area bottom
Part 1
Find the area using each base and height pair.
Aequalsone half
times30times
10.5
equals
157.5 cm squared
Aequalsone half
times15times
21
equals
157.5 cm squared
Aequalsone half
times42times
7.5
equals
157.5 cm squared
(Type whole numbers or decimals.)
Part 2
Why is the area the same for each calculation?
A.
One side length is the average of the remaining two side lengths so the area will be the same no matter which base and height pair is chosen to calculate the area.
B.
The three heights intersect at one point so the area will be the same no matter which base and height pair is chosen to calculate the area.
C.
A triangle has only one area so it will be the same no matter which base and height pair is chosen to calculate the area.
D.
The area of the triangle is not the same for each calculation. The area of the triangle is the largest area of the three calculations.
Aone half30input field 1cm squaredone half15Aone half15input field 2cm squaredone half42Aone half42input field 3cm squared(Type whole numbers or decimals.)Aone half30input field 1cm squaredone half15Aone half15input field 2cm squaredone half42Aone half42input field 3cm squared(Type whole numbers or decimals.)Why is the area the same for each calculation?
