let abc be a triangle such that ab=x-1 cm

Let ABC be a traingle such that AB=(X-1)cm, AC=`2\sqrt{x}`cm, BC=(`x`+1)cm. Then :

(a) A = `90^{0}`
(b) A = `90^{0}`
(c) A = `90^{0}`
(d) none of these

(d) none of these

Let ABC be a right angle

∴ `AC^2` = `AB^2` + `BC^2`

AC = `\sqrt{AB^{2}+BC^{2}}`

AC = `\sqrt{(x-1)^{2}+(x+1)^{2}}`

AC = `\sqrt{x^{2}-2.x.1+1^{2}+x^{2}+2.x.1+1^{2}}`

AC = `\sqrt{2x^{2}+2}`

AC =  `\sqrt{2(x^{2}+1)}`

∴ The correct answer is option  (d) None of these.

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Class-10 SEBA
Maths Question Paper Solution 2022