• Math

  Triangles

  Posted by Mohammad Adnaan on June 22, 2023 at 2:41 pm

  “I’m working on a geometry problem involving similar triangles. Given a triangle ABC with side lengths AB = 6 cm, BC = 8 cm, and AC = 10 cm, and a similar triangle XYZ with side lengths XY = 9 cm and YZ = 12 cm, how can I find the length of side XZ?

  Deepak Kumar replied 1 year, 10 months ago 3 Members · 3 Replies

  • maths-2
• 3 Replies

• 

  Deepak Kumar

  Member

  June 22, 2023 at 2:49 pm

  Here by drawing 2 triangles ABC and XYZ and looking into the triangle ABC, i conclude that Triangle ABC is a right Angled Triangle because after using Pythagoras Theorum Square of AB + BC is equal to the Square of AC. So Triangle ABC and XYZ are similar Triangle,. Therefore AC= 15cm, By using Pythagoras Theorum.

• 

  Tanya Singh

  Member

  June 22, 2023 at 2:53 pm

  Since the triangles ABC and XYZ are similar therefore the ratio of their sides will be equal.

  => AB/AC=XY/XZ

  => 6/10=9/XZ

  => 3/5=9/XZ

  => 1/5=3/XZ

  => XZ=15

• 

  Deepak Kumar

  Member

  June 22, 2023 at 2:56 pm

  here is the pictorial solution

  

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