Answer:
see explanation
Explanation:
36
Since triangle is isosceles then AB = BC
Equate the 2 sides, that is
4x - 21 = 2x - 7 ( subtract 2x from both sides )
2x - 21 = - 7 ( add 21 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7, hence
AB = 2x - 7 = (2 × 7) - 7 = 14 - 7 = 7
BC = 4x - 21 = (4 × 7) - 21 = 28 - 21 = 7
AC = x - 3 = 7 - 3 = 4
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37
Since the triangle is equilateral then all 3 sides are equal.
Equate any 2 sides and solve for x
6x + 1 = 3x + 10 ( subtract 3x from both sides )
3x + 1 = 10 ( subtract 1 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
HF = 6x + 1 = (6 × 3) + 1 = 18 + 1 = 19 = FG = HG