The length of each of the equal sides of an isosceles triangle is 4cm longer than the base. If the perimeter of a triangle is 62 cm, find its lengths of the sides of the triangle
Answers
Answered by
38
HEY MATE !!!
HERE IS UR ANSWER !!!!!
LET IN ISOCELES TRIANGLE ABC , EQUAL SIDES ARE AB AND AC
SO , AB=AC
AND THE LENGTH OF BASE = X cm =BC
SO AB=AC = X+4 CM
PERIMETER = SUM OF ALL SIDES
62 = AB +BC+AC
62 = X+X+4+X+4
62= 3X +8
54=3X
X=18CM
SO BC=18 CM
AC=AB=X+4=22CM
HOPE IT HELPS !!!
THNX:)
Answered by
38
Dear Student,
◆ Answer -
22 cm, 22 cm and 18 cm.
● Explanation -
Let x be length of equal sides. Then length of base is x-4.
Perimeter of triangle is given by -
Perimeter of triangle = x + x + x-4
62 = 3x - 4
3x = 62 + 4
3x = 66
x = 66/3
x = 22 cm
Then base is -
x-4 = 22 - 4
x-4 = 18 cm
Hence, three sides of triangle are 22 cm, 22 cm and 18 cm.
Thanks dear. Hope this helps you..
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