Mathematics: Given: △abc, e∈ ab m∠abc=m∠ace ab=34, ac=20 find: ae

Given: △abc, e∈ ab m∠abc=m∠ace ab=34, ac=20 find:

keyshawn437

10.03.2022

The length of AE is 11.8 units.

Step-by-step explanation:

Given the triangle ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20. we have to find the length of side AE.

In ΔACE and ΔABC

∠A=∠A (Common)

∠ABC=∠ACE (Given)

∴ By AA similarity, ΔACE is similar to ΔABC

Hence by triangle proportionality theorem,

$\frac{CE}{BC}=\frac{AE}{AC}=\frac{AC}{AB}$

⇒ $\frac{AE}{AC}=\frac{AC}{AB}$

⇒ $\frac{AE}{20}=\frac{20}{34}$

⇒ $AE=\frac{20}{34}\times 20=\frac{400}{34}=11.8units$

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kevinglvz

28.02.2020

answer:

a) 2.34500075*10^11

b) 0.732

step-by-step explanation:

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