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5. Triangle ABC has the following measures: AB=15 in AC=25 in, and BC-30 in. From a point D on side AB, a line DE is drawn to a point E on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 in., find the lengths of line segments BD and CE.

5. Triangle ABC has the following measures: AB=15 in AC=25 in, and BC-30 in. From a point D on side AB, a line DE is drawn to a point E on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 in., find the lengths of line segments BD and CE.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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11. The lengths of the sides of a triangle are in the ratio of 17:10:9. Find the lengths of the three sides if the area of the triangle is 576 cm². 12. Find the area of a triangle if its two sides measure 6 in. and 9 in. and the bisector of the angle between the sides is 4.3 in. 13. In acute triangle ABC, an altitude AD is drawn. Find the area of triangle ABC if AB = 15 in., AC=18 in, and BD = 10 in. 14. In a right triangle, a line perpendicular to the hypotenuse drawn from the midpoint of one of the sides divides the hypotenuse into segments which are 10 cm and 6 cm long. Find the lengths of the two sides of the triangle. 15. Triangle ABC has the following measures: AB = 15 in., AC= 25 in, and BC= 30 in. From a point D on side AB, a line DE is drawn to a point E on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 in., find the lengths of line ham segments BD and CE.
Transcribed Image Text:11. The lengths of the sides of a triangle are in the ratio of 17:10:9. Find the lengths of the three sides if the area of the triangle is 576 cm². 12. Find the area of a triangle if its two sides measure 6 in. and 9 in. and the bisector of the angle between the sides is 4.3 in. 13. In acute triangle ABC, an altitude AD is drawn. Find the area of triangle ABC if AB = 15 in., AC=18 in, and BD = 10 in. 14. In a right triangle, a line perpendicular to the hypotenuse drawn from the midpoint of one of the sides divides the hypotenuse into segments which are 10 cm and 6 cm long. Find the lengths of the two sides of the triangle. 15. Triangle ABC has the following measures: AB = 15 in., AC= 25 in, and BC= 30 in. From a point D on side AB, a line DE is drawn to a point E on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 in., find the lengths of line ham segments BD and CE.
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