In trapezoid ABCD, the bases of BC and AD are 2 and 8 cm, respectively. Diagonal AC = 4 cm.
| August 12, 2021 | education
In trapezoid ABCD, the bases of BC and AD are 2 and 8 cm, respectively. Diagonal AC = 4 cm. In what ratio does the diagonal AC S of the trapezoid divide?
The AC diagonal divides the trapezoid into two triangles ABC and ACD. Both triangles have a common height BH, then the ratio of the areas to the total height is equal to the ratio of the lengths of their bases.
Savs / Sasd = 2/8 = 1/4.
Answer: The diagonal of a trapezoid divides its area in a ratio of 1/4.
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