(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
From the Image, We can see the RATIO of EACH CORRESPONDING SIDES of BOTH TRIANGLE is the SAME:
XZ / PR = XY / PQ = YZ / RQ
y / 4 = 9 / 6
y = 36 / 6 = 6 m
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!