The measures of the base and height of the triangle in millimeters
correct answers are
b = 3 mm and h = 8 mm, b = 6 mm and h = 4 mm, b = 12 mm and h = 2 mm.
What is base and height of triangle?
"The area of a triangle is ½ (b × h), where b is the base and h is the height. The base of a triangle is any one of the sides, and the height of the triangle is the length of the altitude from the opposite vertex to that base."
We have
Area of triangle = 12 square mm
Formula to find the base and height of the triangle
A = [tex]\frac{1}{2} bh[/tex]
12 = [tex]\frac{1}{2} bh[/tex]
bh = 12 × 2
bh = 24
Explanation for correct options
Now we need to find pairs that multiply to 24
The possible pairs are
(b , h) = (3, 8) , (6, 4) and (12, 2)
Explanation for other options
base (b) = 2 and height(h) = 6
bh = 2× 6
bh = 12
base(b) = 4 and height(h) = 3
bh = 4× 3
bh = 12
But we have bh = 24. So these are wrong answers
Hence, correct answers are
b = 3 and h = 8, b = 6 and h = 4, b = 12 and h = 2
Learn more about base and height of triangle and area of triangle here
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