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

excefebraxp

Answered question

2022-09-12

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

Answer & Explanation

Jaden Mason

Jaden Mason

Beginner2022-09-13Added 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

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