Perimter of triangle ABC is 20 cm and AC - BC -7 cm - CP -A- 2 cmB- 7 cmC- 4 cmD- 9 cm

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Standard X

Mathematics

Tangent Theorem

Perimter of t...

Question

Perimter of triangle ABC is 20 cm and AC = BC= 7 cm. CP = ____

2 cm

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7 cm

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4 cm

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9 cm

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Solution

The correct option is C
4 cm

Given, AE = BC = 7

and AC + BC + AB = 20

AB = 20 - 7 - 7 = 16 cm

PC = x cm

AP = 7 - x (as AC = 7 cm)

AQ = 7 - x [Tangents from an external point are equal in length]

AB = 2(7 - x) [ABC is an isosceles triangle]

2(7 - x) = 3

x = 4 cm

PC = 4 cm

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Perimter of triangle ABC is 20 cm and AC = BC= 7 cm. CP = ____

The correct option is C 4 cm Given, AE = BC = 7 and AC + BC + AB = 20 AB = 20 - 7 - 7 = 16 cm PC = x cm AP = 7 - x (as AC = 7 cm) AQ = 7 - x [Tangents from an external point are equal in length] AB = 2(7 - x) [ABC is an isosceles triangle] 2(7 - x) = 3 x = 4 cm PC = 4 cm

The correct option is C
4 cm

Given, AE = BC = 7

and AC + BC + AB = 20

AB = 20 - 7 - 7 = 16 cm

PC = x cm

AP = 7 - x (as AC = 7 cm)

AQ = 7 - x [Tangents from an external point are equal in length]

AB = 2(7 - x) [ABC is an isosceles triangle]

2(7 - x) = 3

x = 4 cm

PC = 4 cm