find the area of Rhombus whose each side is 13 M and one of the diagonals is 10m
Answers
Answered by
9
Hey there!
Answer:
120 m²
Step-by-step explanation:
♣ Given Data:
Side of rhombus = 13 m
Diagonal of rhombus = 10 m
AC = 10 m
AE = 1/2 * AC = 1/2 * 10 = 5 m
♣ Apply Pythagoras theorem:
In ΔABE,
BE = √AB² - AE²
= √(13)² - 5²
= √169 - 25
= √144
= 12 m
Now,
BD = 2 * BE = 2 * 12 = 24 m
♣ Finding area using standard formula:
Area = 1/2 * diagonal 1 * diagonal 2
=1/2 * AC * BD
= 1/2 * 10 * 24
= 120 m²
Hope It Helps YoU!
Attachments:
Answered by
0
Answer:
ans-120m²
Step-by-step explanation:
PT²+QT²=PQ²
PT²+5²=13²
PT²+25=169
PT²=169-25=144
PT=12
PR=2×PT
=2×12=24
Area of rhombus PQRS=1/2×d1×d2
=1/2×24×10=12m²
Similar questions
Physics,
6 months ago
Math,
6 months ago
Social Sciences,
6 months ago
History,
11 months ago
Geography,
1 year ago