Triangles LMN and XYZ are similar. Then the value of 'a' if LM=4 cm ,MN=8 cm ,XY=3cm ,YZ=3a is
Answers
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
Step-by-step explanation:
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10th
Maths
Constructions
Construction of Similar Triangles
LMN ∼ XYZ . In LMN, LM =...
MATHS
△LMN∼ △XYZ. In △LMN,LM=6 cm,MN=6.8 cm,LN=7.6 cm and
XY
LM
=
5
4
; Construct △XYZ.
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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.