Question

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What is the length of PR?

Answer 1

The answer is 7 apex

Answer 2

The length of PR is 7 units.

Solution-

Given,

in the ΔDEF,

m∠D = 25°, m∠E = 114°, DF = 21, DE = 15

in the ΔPQR,

m∠P = 25°, m∠Q = 114°, PR = x, PQ = 5

So, ΔDEF ~ ΔPQR by AA (Angle-Angle) similarity, as

1. m∠D = m∠P = 25°
2. m∠E =m∠Q = 114°

So, according to similarity

`\Rightarrow (DF)/(PR)=(DE)/(PQ)=(EF)/(QR)`

Putting the values,

`\Rightarrow (21)/(x)=(15)/(5)`

`\Rightarrow x=(21* 5)/(15)`

`\Rightarrow x=7`