Question

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Answer 1

• Answer:

(A) - <Y = <Q

(B) - Y = 6 m

(C) - P = 8 m

(D) - Area ΔXYZ = 26.1 m^2

• (1) - Step-by-step explanation ANALYZE:

The ΔXYZ is SIMILAR to ΔPQR with

<X = <P

<Z = <R

THUS:

<Y = <Q

• (2) - ANALYZE:

From the Image, We can see the RATIO of EACH CORRESPONDING SIDES of BOTH TRIANGLE is the SAME:

XZ / PR = XY / PQ = YZ / RQ

• (3) - CALCULATE:

y / 4 = 9 / 6

y = 36 / 6 = 6 m

• (4) - CALCULATE:

12 / p = 9 / 6

p = 72 / 9 = 8 m

• (5) - DRAW THE CONCLUSION/CALCULATE:
• The Length of Side:

ΔXYZ: ΔPQR = 9 : 6 = 3 : 2

IF AREA ΔPQR = 11.6 m^2

AREA ΔXYZ = 11.6 * (3 / 2 )^2

AREA ΔXYZ = 26.1 m^2

I hope this helps you!