jayjeralm070805
21.10.2020 •
Mathematics
Help!! I don't understand at all
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Ответ:
AB = 40 cm
Distance =
cm
Step-by-step explanation:
Draw two heights DE and CF. These heights together with bases of trapezoid form rectangle DEFC. In this rectangle, DC=EF=20 cm.
Consider right triangle ADE. In this triangle, angle ADE has the measure of 30° (the sum of the measures of all interior angles is always 180°, so m∠ADE=180°-60°-90°=30°)
Leg opposite to 30° angle is equal to half of the hypotenuse, so
Similarly, in triangle CBF, BF=10 cm.
Hence,
The height of the trapezoid (the second leg of triangle ADE) is the distance between DC and AB. By the Pythagorean theorem,