127k views
5 votes
Helpppppppppppppppppppppppppp

Helpppppppppppppppppppppppppp-example-1
User Walamana
by
8.0k points

1 Answer

2 votes
  • 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!

User Dan Lenski
by
8.1k points

Related questions

asked Apr 23, 2024 97.1k views
Gkephorus asked Apr 23, 2024
by Gkephorus
9.0k points
1 answer
4 votes
97.1k views
asked Jan 19, 2024 40.5k views
SehaxX asked Jan 19, 2024
by SehaxX
8.7k points
1 answer
1 vote
40.5k views
asked Sep 11, 2024 192k views
Vanpersil asked Sep 11, 2024
by Vanpersil
7.7k points
1 answer
4 votes
192k views