Question

Maths Class 10 Triangles

Answer 1

Answer:

Bx=60* Ax=65*

Step-by-step explanation:

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Answer 2

Since, XY|| BC , thus Triangle AXY is similar to the triangle ABC [by Thales theorum]

Now, arΔAXY ∼arΔABC

➠Ar (ΔABC)/Ar(ΔAXY)= AB²/BX² —(1)

Also, ar ΔAXY=ar trap. BCXY [given]

Thus, it means XY divides ΔABC into 2 equal parts

Thus, arΔABC= 2 ×ar Δ (AXY)

➠ar ΔABC/ar ΔAXY=2 —(2)

From (1) and (2)

⇒AB²/BX²= 2

⇒AB/BX= √2

⇒2 AX/BX=√2[since, triangle ABC is divided into two equal parts by XY thus, its side will also be bisected into two equal parts ]

⇒AX/BX= √2/2

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