Math, asked by ansarizubiya97, 1 year ago

if triangle xyz~ triangle LMN write the corresponding angles of two triangle s and also write the ratio of corresponding sides​

Answers

Answered by harshkumar3701
3

Answer:

thw ratio of there sides be in 1:1:1

and also the ratio of its angle be in 1:1:1

because ratio of corresponding sidesof two similar triangles are egual

Answered by hukam0685
0

Step-by-step explanation:

Given: ∆ XYZ ~∆LMN

To find: Write all correpesponding angles of the two triangles and also write the ratio of corresponding sides.

Solution:

We know that if two triangles are similar than their corresponding angles are equal and ratio of corresponding sides are in proportion.

In ∆XYZ and ∆LMN, as both are similar.

Thus,

\angle \: X = \angle \: L\\

\angle \: Y = \angle \: M\\

\angle \: Z = \angle \: N\\

and

\frac{XY}{LM}  =  \frac{YZ}{MN} =\frac{XZ}{LN} \\\\

Extra information: If two triangles are similar than ratio of their corresponding median and altitude are also equal.

Final answer:

If ∆ XYZ ~∆LMN then

\red{\angle \: X = \angle \: L}\\

\green{\angle \: Y = \angle \: M}\\

\pink{\angle \: Z= \angle \: N}\\

and

\bold{\blue{\frac{XY}{LM}  =  \frac{YZ}{MN} =\frac{XZ}{LN}}} \\\\

Hope it helps you.

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