braxtonquayle7622 braxtonquayle7622
  • 03-06-2020
  • Mathematics
contestada

Triangle PQR is similar to triangle FGH.

Solve for n.

QP:10.5

QR:9

RP:6


GF:7

HF:4

GH:n

Respuesta :

Ike125 Ike125
  • 05-06-2020

Answer:

n = 6

Step-by-step explanation:

See attachment for diagram

Triangle PQR is similar to triangle FGH.

Similar triangles are similar in shape but different in size.

The ratio of their corresponding sides are equal.

QP=10.5

QR=9

RP=6

GF=7

HF=4

GH=n

(Hypotenuse in ∆PQR)/ (hypothenuse in ∆FGH)

=(Adjacent in ∆PQR)/(adjacent in ∆FGH)

= 6/4 = 9/n

Cross multiply

6×n = 9×4

6n = 36

n = 36/6

n = 6

Therefore ratio of their corresponding sides = 3/2

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