Write the following formulas:
a) The minimum perimeter of any triangle (abc) only known heights corresponding to the sides a and b.
b) The maximum height and minimum corresponding to the side b of any triangle (abc) only known the value of its perimeter and height corresponding to the side a.
thanks...
Next, denoting the altitudes from sides a, b, and c respectively as ha, hb, and hc, and denoting the semi-sum of the reciprocals of the altitudes as H = (h_a^{-1} + h_b^{-1} + h_c^{-1})/2 we have[11]
A^{-1} = 4 \sqrt{H(H-h_a^{-1})(H-h_b^{-1})(H-h_c^{-1})}.
Write the following formulas:
a) The minimum perimeter of any triangle (abc) only known heights corresponding to the sides a and b.
b) The maximum height and minimum corresponding to the side b of any triangle (abc) only known the value of its perimeter and height corresponding to the side a.
Calculate the area of a triangle knowing its 3 heights
ha = 3 m
hb = 4 m
hc = 5 m
NOTE = You can use the online triangle calculator TrianCal to see and draw the results.
NOTE = Do not use the values ??of responses.
A) 10.03 m2
B) 10.04 m2
C) 10.05 m2
D) Imposible
Calculate the area of a triangle knowing its perimeter and 2 heights
perimeter = 30 m
ha = 8 m
hb = 9 mNOTE = You can use the online triangle calculator TrianCal to see and draw the results.
NOTE = Do not use the values ??of responses.
A) 41.29 m2
B) 42.93 m2 or 36.28 m2
C) 42.95 m2 or 36.29...
Calculate the sides of a triangle knowing its area, perimeter and angle A.
Area = 30 m2
Perimeter = 30m
Angle A = 30º
NOTE = You can use the online triangle calculator TrianCal to see and draw the results.
NOTE = Do not use the values ??of responses.
A) 6.09, 9.36 and 14.55
B) 7.40, 8.63 and...