Question

if ∆PQR~∆XYZ,PQ=15cm,ar
(PQR)=75cm2,ar(XYZ)=108cm2 then XY.......

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Answer 1

Answer:

Answer:

YZ = 7.5

Step-by-step explanation:

Given,

Δxyz ≅ Δpqr

PQ=4cm ;  QR=5cm   ; XY=6cm

⇒\frac{PQ}{XY}XYPQ = \frac{QR}{YZ}YZQR  [corresponding sides of similar triangles are in the same ratio]

⇒ \frac{4}{5} = \frac{6}{YZ}54=YZ6

⇒YZ = \frac{30}{4}YZ=430

⇒YZ = 7.5 cm

Answer 2

The value of XY is 18.

Given:

∆PQR ~ ∆XYZ

PQ = 15 cm

area of triangle PQR = 75 cm²

area of triangle XYZ = 108 cm²

To Find:

we need to find the value of XY

Solution:

we know that when two triangles are similar, the ratio of the square of their corresponding sides is equal to the ratio of their areas

as the triangles PQR and XYZ are similar,

PQ²/ XY² = Area(PQR)/ Area(XYZ)

⇒ 15²/XY² = 75/108

XY² = 225 × 108/75

XY² = 324

XY = √324

XY = 18

Thus, the value of the side XY will be 18.

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