Question

XYZ is an equilatetal triangle where XO and YP are perpendicular to YZ and XZ respectively . prove that triangle XYZ congruent to triangle XZO. PLEASE SOLVE . FIGURE GIVEN ABOVE​

Answer 1

Step-by-step explanation:

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Answer 2

$\bigtriangleup XYZ \cong \bigtriangleup XZO$

Step-by-step explanation:

given that : XYZ is an equilatetal triangle

XY = YZ = XZ

to prove : $\bigtriangleup XYZ \cong \bigtriangleup XZO$

proof :

in $\bigtriangleup XYZ$

XY = XZ

therefore $\angle Y = \angle Z$ (angle opposite to equal sides are equal)

now in $\bigtriangleup XYZ and \bigtriangleup XZO$

XY = XZ (given)

$\angle Y = \angle Z$ ( from above)

$\angle P = \angle O = 90{^\circ}$

therefore by RHS congruency rule

$\bigtriangleup XYZ \cong \bigtriangleup XZO$

hence proved .

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