Question

∆XYZ - ∆LMN,XY = 6,YZ = 8, LM = 12. find MN​

Answer 1

MN=16 is the answer of this question

Answer 2

Answer:

The sides of △XYZ will be

4

5

times the sides of △LMN

∴XY=

4

5

×LM=

4

5

×6=7.5 cm

YZ=

4

5

×MN=

4

5

×6.8=8.5 cm

XZ=

4

5

×LN=

4

5

×7.6=9.5 cm

Construction:

Step 1: Draw base XZ=9.5 cm with a ruler.

Step 2: Place the compass on point X and measure an arc with length of the compass as XY=7.5 cm.

Step 3: Place the compass on point Z and measure an arc with length of the compass as YZ=8.5 cm.

Step 4: Mark the intersection point of the arcs in steps 2 and 3 as point Y and draw lines joining X−Y and Z−Y.

△XYZ is the required triangle.