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Solve this question please fast please.​

Solve this question please fast please.​-example-1
User Givius
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2 Answers

1 vote

solution :-

shape BCD is an isosceles triangle meaning the base angles will be the same.

CA is a straight line meaning that it is 180 the sum of angles in a triangle always is 180

SO ,

180-36= 144

to find x you need to half 144 as it is the sum of the base angles of the isosceles triangle.

144/2= 72

x=72

the angle just below y is also 72. as CA is a straight line, 180-72= 108 giving you the answer for y

y=108

so to make the answer clear

x= 72

y= 108

i hope it's helpful for u ☺️

User Sofie VL
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4.0k points
6 votes

Area of ∆ABC = 36,

Area of ∆ABC = 36,Area of ∆PQR = 64

Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12

Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12The correspondence ABC ↔ PQR is a similarity.

Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12The correspondence ABC ↔ PQR is a similarity.To find: PQ = ?

Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12The correspondence ABC ↔ PQR is a similarity.To find: PQ = ?For this,

Recall the property,

Ratio of areas of two similar triangles = Ratio of squares of the corresponding sides

Area of PQR / Area of ABC =(PQ/AB)²

64 /36 = (PQ/AB)²

(PQ/AB) = 64 /36

(PQ/AB)= 8/6

PQ=AB ×8/6

PQ = 12×8/6

⇒ PQ = 2 × 8

⇒ PQ = 2 × 8⇒ PQ = 16

⇒ PQ = 2 × 8⇒ PQ = 16Thus, answer is 16.

User Drobs
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