Rhombus of side 30 cm has one of its diagonal 36 cm find the diagonal remember the diagonal of a rhombus are perpendicular to each other
Answers
The measure of other diagonal is 48 cm .
Step-by-step explanation:
Given as :
For Rhombus
The side of Rhombus = s = 30 cm
Measure of one diagonal = = 36 cm
Let The Measure of other diagonal = cm
According to question
The diagonal of a rhombus are perpendicular to each other
Since , The diagonal of rhombus bisect each other at right angle
Now,
∵ Side of rhombus = ×
Or, s = ×
Or, 2 × s =
Squaring both side
i.e ( 2 s )² = ( )²
Or, ( 36 cm )² + ( )² = 4 s²
Or, ( 36 cm )² + ( )² = 4 (30 cm)²
Or, ( )² = 4 × 900 cm² - 1296 cm²
Or, ( )² = 3600 cm² - 1296 cm²
∴ ( )² = 2304 cm²
Or, = √2304
i.e = 48 cm
So, The measure of other diagonal = = 48 cm
Hence, The measure of other diagonal is 48 cm . Answer
Answer:
The measure of other diagonal is 48 cm .
Step-by-step explanation:
Given as :
For Rhombus
The side of Rhombus = s = 30 cm
Measure of one diagonal = = 36 cm
Let The Measure of other diagonal = cm
According to question
The diagonal of a rhombus are perpendicular to each other
Since , The diagonal of rhombus bisect each other at right angle
Now,
∵ Side of rhombus = ×
Or, s = ×
Or, 2 × s =
Squaring both side
i.e ( 2 s )² = ( )²
Or, ( 36 cm )² + ( )² = 4 s²
Or, ( 36 cm )² + ( )² = 4 (30 cm)²
Or, ( )² = 4 × 900 cm² - 1296 cm²
Or, ( )² = 3600 cm² - 1296 cm²
∴ ( )² = 2304 cm²
Or, = √2304
i.e = 48 cm
So, The measure of other diagonal = = 48 cm
Hence, The measure of other diagonal is 48 cm . Answer