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In triangle,ABC DE ll BC and ad/db =3/5 if ac =4.8cm find ae?
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In triangle,ABC DE ll BC and ad/db =3/5 if ac =4.8cm find ae?
Since in triangle ABC , DE||BC
AD/AB=AE/AC
So AE=(AD×AC)/AB
AE=3×4.8/8
AE=1.8cm
AD/AB=AE/AC
So AE=(AD×AC)/AB
AE=3×4.8/8
AE=1.8cm
Community Answer
In triangle,ABC DE ll BC and ad/db =3/5 if ac =4.8cm find ae?
Given:
To find: AE
Solution:
$\frac{AE}{AC} = \frac{AD}{AB}$
$\frac{AE}{4.8} = \frac{3}{3+5}$
$\frac{AE}{4.8} = \frac{3}{8}$
$AE = \frac{4.8 \times 3}{8}$
$AE = 1.8cm$
Therefore, the value of AE is 1.8cm.
- Triangle ABC
- DE || BC
- AD/DB = 3/5
- AC = 4.8cm
To find: AE
Solution:
- Step 1: Using the property of parallel lines, we can say that triangles ADE and ABC are similar.
- Step 2: Using the similarity property, we can write the following proportion:
$\frac{AE}{AC} = \frac{AD}{AB}$
$\frac{AE}{4.8} = \frac{3}{3+5}$
$\frac{AE}{4.8} = \frac{3}{8}$
$AE = \frac{4.8 \times 3}{8}$
$AE = 1.8cm$
Therefore, the value of AE is 1.8cm.
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In triangle,ABC DE ll BC and ad/db =3/5 if ac =4.8cm find ae? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In triangle,ABC DE ll BC and ad/db =3/5 if ac =4.8cm find ae? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In triangle,ABC DE ll BC and ad/db =3/5 if ac =4.8cm find ae?.
In triangle,ABC DE ll BC and ad/db =3/5 if ac =4.8cm find ae? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In triangle,ABC DE ll BC and ad/db =3/5 if ac =4.8cm find ae? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In triangle,ABC DE ll BC and ad/db =3/5 if ac =4.8cm find ae?.
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