ketricduggerp2ciuc
15.04.2020 •
Mathematics
A right triangle has an area of 18 square inches. Part 1 If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle? The length of each leg is 6 inches. Part 2 out of 2 If the triangle is not an isosceles triangle, what are all the possible lengths of the legs? The possible lengths are.
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Ответ:
The possible lengths are 2 x 18 , 3 x 12, 4x 9
Step-by-step explanation:
Part 1) Given:
Area 'A'= 18 square inch
l=b=x (because isosceles triangle)
by the of equation of area of triangle
A = (1/2) (base) (height)
18 = (1/2) x . x
36 = x²
x²= 36
taking square root on both sides
x = 6 (The length of each leg is 6 inches.)
Part 2)
As area = 18, in above part we see that area before division must be 36, so lets find out the factor of 36.
36= 2 x 18
36= 3 x 12
36= 4x 9
Triangle have the dimension in the form of b x h
The possible lengths are , 2 x 18 , 3 x 12, 4x 9
Ответ: