What is the length of the the midsegment of a trapezoid with bases of length 14 and 24?
2 answers:
Answer:19
Step-by-step explanation:The midsegment of a trapezoid connects the midpoints of the two congruent sides of the trapezoid, and is parallel to the pair of parallel sides.Therefore , to find the length of the midsegment , all we need do is to add the two bases together and divide by two , that is :
Length of mid segment =
Length of mid segment =
Length of mid segment = 19
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Answer:
Area of ABCD = 959.93 units²
Step-by-step explanation:
a). By applying Sine rule in the ΔABD,
Sin∠DBA =
m∠DBA =
m∠DBA = 45.64°
Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°
m∠ADB = 24.36°
c). Area of ABCD = Area of ΔABD + Area of ΔBCD
Area of ΔABD = AD×BD×Sin()
= 35×46Sin(12.18)
= 339.68 units²
Area of ΔBCD = BD×BC×Sin()°
= 46×27×(0.4994)
= 620.25 units²
Area of ABCD = 339.68 + 620.25
= 959.93 units²