SOLUTION: find the length of the side of a rhombus whose diagonals measure 6 centimeters and 8 centimeters.
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Question 54607This question is from textbook Integrated mathematics
: find the length of the side of a rhombus whose diagonals measure 6 centimeters and 8 centimeters.
This question is from textbook Integrated mathematics
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
A RHOMBUS IS A 4 EQUALLY SIDED FIGURE. DIAGONALS OF A RHOMBUS FORM RIGHT ANGLES. THUS THE DIAGONALS FORM 4 EQUAL RIGHT ANGLE TRIANGLES WITH THE INNER SIDES EQUAL TO 1/2 THE DIAGONALS. THUS THE SMALLER SIDES OF THESE TRIANGLES ARE 3 & 4 CENTIMETERS. THUS THE RIGHT TRIANGLE IS A^2=B^2=C62 OR 3^2+4^4=C^2 OR 9+16=C62 OR C=5 THUS THE HYPOTENUSE OF THESE 4 EQUAL TRIANGLES IS 5 CENTIMETERS. SEEING AS ALL SIDES ARE EQUAL IN A RHOMBUS THEN ALL SIDES ARE 5 CENTIMETERS.
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