Question

triangle LMN similar to triangle RST ,LM=3, MN=4 , ST =12 find RS​

Answer 1

Answer:

9

Step-by-step explanation:

∆LMN ~ ∆RST

LM/Mn=RS/ST

3/4=RS/12

RS=3*12/4

RS=36/4

RS=9

Answer 2

Given: Triangle LMN similar to triangle RST ,LM=3, MN=4 , ST =12

To find: The value of RS.

Solution:

When two triangles are similar, the lengths of their corresponding sides are in proportion with one another. In the triangles LMN and RST, LM and RS are the corresponding sides. Also, MN and ST are corresponding sides. Hence, these sides are in proportion with one another. The proportion is shown in the equation below.

$\frac{LM}{RS} = \frac{MN}{ST}$

Now, the lengths of these sides are substituted and the value of RS is found.

$\frac{3}{RS} = \frac{4}{12}$

$RS = 9$

Therefore, the value of RS is 9 units.