Math, asked by parthnezawala, 9 months ago

in the given picture if AB=AC then prove that ABC =ACE

Answers

Answered by anjuranidas14

Answer:

Given:

AB=AC

To prove :

ABC=ACE

proof :

AB=AC

Therefore Angle ABC=ACB(isoceles triangle property)

ABD+ABC=180(linear pair) Equation-1

ACE+ACB=180(Linear Pair)-Equation-2

From equation 1 and 2 we know that

ABC+ABC=ACE+ACB

Answered by Anonymous

$<!DOCTYPE html> <html lang="en"> <head> <title>Bts army bomb</title> </head> <body> <div id="container" class="army-bomb-container"> <div id="handle" class="handle"> <div id="army-bomb" class="army-bomb"/> </div> <style> body { background: linear-gradient(45deg, #FBCCB7, #EFAAC9, #CCB6D9, #A2C8ED); width: 100vh; height: 300px; } .army-bomb-container { position: fixed; left: 50%; top: 50%; transform: translateX(-50%) translateY(-30%); } .handle { position: relative; height: 200px; width: 50px; background-color: black; z-index: 0; } /* top of the army bomb drawn using pseudo elements on the handle (so that it is drawn behind the glowing animation) */ .handle:before { position: absolute; left: 132.5%; top: -30%; width: 30px; height: 10px; background-color: black; transform: rotate(45deg); z-index: -1; content: ""; } .handle:after { position: absolute; left: 168.5%; top: -31.5%; width: 3px; height: 5px; background-color: red; transform: rotate(45deg); z-index: -1; content: ""; } .army-bomb { position: relative; left: 50%; transform: translateX(-50%) translateY(-50%); width: 150px; height: 150px; background-color: white; border-radius: 75px; animation: light-up 3s infinite ease-in-out; } /* BTS logo drawn using pseudo elements of the army bomb */ .army-bomb::before { position: absolute; top: 160%; left: 34%; border-bottom: 10px solid white; border-left: 10px solid transparent; border-right: 10px solid transparent; height: 0; width: 15px; transform: rotate(90deg); content: ""; } .army-bomb::after { position: absolute; top: 160%; right: 34%; border-bottom: 10px solid white; border-left: 10px solid transparent; border-right: 10px solid transparent; height: 0; width: 15px; transform: rotate(-90deg); content: ""; } /* glowing animation */ @keyframes light-up { 0% { box-shadow: 0px 0px 50px 1px white; } 50% { box-shadow: 0px 0px 50px 30px white; } 100% { box-shadow: 0px 0px 10px 1px gwhite; } #phenomenal} </style> </body> </html>$

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in the given picture if AB=AC then prove that ABC =ACE