The height BH of the rhombus ABCD divides its side AD into segments AH=44 and HD=11. Find the area of ​​the rhombus.

excefebraxp 2022-09-12 Answered
The height BH of the rhombus ABCD divides its side AD into segments AH=44 and HD=11. Find the area of ​​the rhombus.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Jaden Mason
Answered 2022-09-13 Author has 15 answers
S=side*height=AD*BH
AD=44+11=55
BH find from ABH
ABH- rectangular
according to the Pythagorean theorem
B H 2 = A B 2 A H 2
AH=44 by condition
AB =AD = 55 (a rhombus has all sides equal)
B H 2 = 55 2 44 2 = 3025 1936 = 1089
B H = 1089 = 33
S=55*33=1815

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions