Question

class 10th...Triangles chapter​

Answer 1

Answer:

• AY = 6 cm.

Step-by-step explanation:

In ΔAXY and ΔABC,

∠A = ∠A

• [∵ Common]

∠AXY = ∠B

• [∵ Corresponding angles]

∴ ΔAXY - ΔABC

• [∵ AA similarity]

We know,

If two triangles are similar, then their corresponding angles are equal and the corresponding sides are proportional.

AB = 4BX [Given]

AB = 4x and BX = x [Say]

Then, AX = AB - BX = 3x

So, corresponding sides are proportional.

AX/BX = AY/YC

3x/x = AY/2

AY = 3x × 2/x

AY = 6 cm

∴ The length of AY is 6 cm.

Answer 2

Answer:

If two triangles are similar, then their corresponding angles are equal and the corresponding sides are proportional.

AB = 4BX [Given]

AB = 4x and BX = x [Say]

Then, AX = AB - BX = 3x

So, corresponding sides are proportional.

AX/BX = AY/YC

3x/x = AY/2

AY = 3x × 2/x

AY = 6 cm

Step-by-step explanation: