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Calculate the measure of SR

User Fenomas
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In the given figure

There is a triangle RST

∵ RU is perpendicular on ST and bisects it

∴ Triangle RST is an isosceles triangle

∴ RS = RT

∵ RS = 3x + 9 and RT = 7x + 17

Equate them

∵ 7x + 17 = 3x + 9

Subtract 3x from both sides

∴ 7x - 3x + 17 = 3x - 3x + 9

∴ 4x + 17 = 9

Subtract 17 from both sides

∵ 4x + 17 - 17 = 9 - 17

∴ 4x = -8

Divide both sides by 4 to find x

∴ x = -2

Now substitute x by -2 in the expression of RS to find its length

∵ RS = 3(-2) + 9

∴ RS = -6 + 9

RS = 3

User Josivan
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