Q.3 A) Complete the activity.
1)
Х
X
I am an isosceles triangle. My base
is 3 cm more than twice my
congruent sides. My perimeter is
35 cm. Find the length of my base.
у
Answers
Given : An isosceles triangle.
base is 3 cm more than congruent sides.
perimeter is 35 cm.
To Find : the length of my base.
Solution:
congruent sides. = X cm
Base = Y cm
base is 3 cm more than twice congruent sides.
=> Y = X + 3
Perimeter = X + X + Y
=> 2X + y = 35
=> 2X + X + 3 = 35
=> 3X = 32
=> X = 32/3
Y = 32/3 + 3 = 41/3
Base = 41/3 cm
if use what given in question :
Then base is 3 cm more than twice congruent sides.
Y = 2X + 3
=> 2X + 2X + 3 = 35
=> X = 8 and Y = 19
but such triangle is not possible as
19 > 8 + 8
and for a triangle sum of any two sides is greater than third side
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