Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Updated On: 5-5-2021

Apne doubts clear karein ab Whatsapp par bhi. Try it now.

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

3.5 K+

100+

Text Solution

Answer :

36 cm Solution :

N/A Transcript

Time | Transcript |
---|---|

00:00 - 00:59 | if the difference between sides of right angle triangle is 3 cm and its area is 54 cm find the perimeter no see it is given that difference between difference between the sides of right angle triangle is 3 cm and area is 154 cm square now she lets considered this side as X and decide as X + 3 now it is given that area of triangle is 54 now we know that area of triangle is equal to half into base into height now in case of right angle triangle base is Express 3 and height is X therefore area which is 54 54 is equal to |

01:00 - 01:59 | 1 by 2 into base is X + 3 and height is X therefore we can write this 54 in 22 is 108 108 is equal to X square + 3 X this is how we can write this equation which is X square + 3 X - 108 is equal to zero is the quadratic equation now C 9 and 12 are the factors of the spotted equation which is X square + 12 x - 9 x - 108 is equal to zero now we can write this as common X + 12 - 9 X |

02:00 - 02:59 | this is how we can write the equation equal to zero therefore from here we can write that x minus 9 and X + 12 is equal to zero therefore x is equal to 9 9 x is equal to minus 12 x is equal to minus this is what we get but I cannot be negative since its length therefore we cannot negative for x is equal to 9 is our required value of x now if this site is not decide is this site will be 12 this ideal B12 now this is 90 degree this is given this is my degree so using whatever we can write that length of this side let's say this is why i y square is equal to |

03:00 - 03:59 | 9 square + 12 square using Pythagoras Theorem y square is equal to 9 square is 81 + 12 square is 144 144 Dhara 4 y square is equal to 53 sorry for you to to which is 225 therefore why is Y is equal to 15 this is our value for why now we need perimeter we want to find the perimeter now see perimeter in the thing but edition of three side which is perimeter P equal to 9 + 12 + 15 which is equal to |

04:00 - 04:59 | 36 perimeter is equal to 36 CM this is our final answer |

**What we already learned in previous classes**

**How similarity is different from congruence.**

**Similar Polygons**

**Similar Triangles and their properties**

**Basic proportionality Theorem or Thales Theorem - If a line is drawn parallel to one side of a triangle intersecting the other two sides; then it divides the two sides in the same ratio.**

**If in a `DeltaABC`; a line DE||BC; intersects AB in D and AC in E; Then `AB`/
`AD` = `AC`/`AE`**

**Converse of Basis proportionality theorem : If a line divides any two sides of a triangle in the same ratio; then the line must be parallel to the third side.**

**The internal angle bisector of an angle of a triangle divide the opposite side internally in the ratio of the sides containgthe angle**

**If a line through one vertex of a triangle divides the opposite sides in the Ratio of other two sides; then the line bisects the angle at the vertex.**

**The external angle bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.**