Question

triangle ABC is an equilateral triangle. point P is on the base BC such that PC =1/2 BC, if Ab = 6 cm find AP....

Answer 1

HEY !!

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Length of all the sides is 6cm because the the triangle given above is an Equilateral triangle.

AB=BC=AC=6cm

PC = 1/2×BC
PC=1/2×6
PC=3cm

PC and AP forms a right angled triangle.

Using Pythagoras Theorem. We can state that,

(AP)²_+(PC)²=((AC)²
(AP)²+(3)²=(6)²
(AP)²+9=36
(AP)²=36-9
(AP)²=25
AP=✓25
AP=5cm

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Hope it helps !!!

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