Math, asked by bnjyothirmai1036, 4 days ago

∆ABC yali DE||BC, DE = 3cm, BC=9cm matuu AD = 2cm adre AB =? Udaavestuu

Answers

Answered by maaz292865
1

Answer:

AB =6cm

Step-by-step explanation:

Given: DE || BC, DE = 3cm, BC = 9cm, AD 2cm

To find: The length of AB

Solution: Since DE || BC, angle D angle B and angle E = angle C.

Angle A remains the same.

Now the AAA (angle-angle-angle) similarity theorem states that two triangles have their corresponding angles equal if and only if their corresponding sides are proportional.

So by AAA criteria, we see that triangle

ABC triangle ADE. ~

Since DE/BC = 3 cm/9 cm

⇒DE/BC=1/3

⇒ AD/AB = 1/3

⇒ AB = 3.AD

⇒AB = 3 x 2 cm

⇒AB = 6 cm

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Answered by xXitzMAAZXx
2

Answer:

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