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Let ABC be an equilateral triangle of side 8 cm. i.e, AB=BC=CA=8 cm. <br> Draw altitude AD which is perpendicular to BC. Then, D is the mid-point of BC. <br> `thereforeBD=CD=1/2BC=8/2=4cm` <br> Now, `AB^(2)=AD^(2)+BD^(2)` [by Pythagoras theorem] <br> `rArr (8)^(2)=AF^(2)+(4)^(2)` <br> `rArr 64=AD^(2)+16` <br> `rArrAD^(2)=64-16=48` <br> `rArr AD=sqrt48=4sqrt3` <br> Hence, altitude of an equileteral triangle is `4sqrt3` cm <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_NCERT_EXE_MATH_X_C06_S01_030_S01.png" width="80%"> Transcript

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00:00 - 00:59 | hello student Sohar question here is find the altitude altitude means what the height of your to find the altitude of the height of an equilateral triangle of side 8 cm so let's see this is our equilateral triangle with all the three sides are equal to each other place ft equal to sin or you are also we know that it is equal to each other since all the three sides are equal first of all we shall consider the two Triangles that are so we shall be that consider two Triangles ab let's name this point as this is this country to the two Triangles are ABD and triangle students now we have to find the value of a |

01:00 - 01:59 | ladies my height of the altitude so I had to find the value of area where you're considering these two Triangles first of all I can say that I will be equal to the two Triangles since it is the common side after doing this since we know it is an equilateral triangle so my ab is equal to AC why it is given is equal to Sweet is given and third angle ADB is equal to angle ADC which is in turn equal to 90° why because ad is perpendicular to BC by students they have given that we have to find the altitude is my altitude ove now we have these three properties should therefore I can say that therefore I can say my triangle AB de Villiers congruent to my Triangle |

02:00 - 02:59 | my wish test by HS test by students to using this I can say the both are congruent now after proving this can I write this triangle can I write that the sea water it in a right that BD is equal to DC by which property by cpct congruent parts of congruent Triangles are equal to buy cpct I can say that BD is equal to DC by students but we also know that as you know that this is an equilateral triangle with each side is 8 cm so we can say that this side this will be nothing but it's my students to therefore my PC is how much it is 8 cm but what is the value of B C can I write BCS BD + BC students it is nothing but we deeply |

03:00 - 03:59 | education from the diagram so beautyplus DC is 8 cm but we know from this equation that BD is equal to DC to can I write this is twice of DC to twice of DC is equal to 8 cm 8 cm so therefore what will be my value of DC so my value of DC will be 4 cm Rai students cushing's disease for I can say that BD is also 4 right now considered a triangle you can take any triangle is take triangle ABC remember we have to find the altitude De De so when we considered angle a BD we know we already know the value of BD BD is 4 cm ab is given that it is an equilateral triangle as you can see this idp or that will be 8 cm and we know that triangle ABC d |

04:00 - 04:59 | design right angle triangle so using Python Baras theorem can I write that a b square is equal to write a b square is equal to a square + b square by students by Pythagoras theorem of Pythagoras theorem state that the square of the hypotenuse is equal to the sum of the square of the other two sides write reviews that property lawyer no ab is nothing but 8 square area I have to find out a + b is nothing but Four Square Udaipur can I write square is equal to square will be what 64 - My force where is 16 therefore a square is equal to 48 I can write Oriya therefore my will be under root of 48 now it has 16 into three I shouldn't the 16 |

05:00 - 05:59 | models for their four equal to 4 root 3 answer for 8008 which is the altitude of the triangle as you can see or hear a Divas multitude Pound value so my dad is nothing but final answer is 4/3 I hope you understood this M thank you students |