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Activity Discussion Math Triangles

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• # Triangles

Posted by 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?

replied 3 months ago 3 Members · 3 Replies
• 3 Replies
• ### Tanya

Member
June 22, 2023 at 2:53 pm
1

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

Member
June 22, 2023 at 2:49 pm
0

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.

• ### Deepak

Member
June 22, 2023 at 2:56 pm