Question

ABC is a right triangle at C.If p is the lenth of perpendicular from c and a, b, c have usual meaning then prove that 1/p2 =1/a2 ​

Answer 1

Step-by-step explanation:

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Here, ABC is a right triangle,

In which ∠C = 90°, AB =c, AC= b, BC = a,

Also, p is the length of the perpendicular from c to ab,

We have to prove that:

Proof:

Let D be the point on the segment AB,

Such that CD = p,

In triangle ACB and ADC,

   ( reflexive )

  ( Right angle )

By AA similarity postulate,

By the property of similar triangles,

------------ (1)

Now, by the Pythagoras theorem,

Hence, proved.

Answer 2

Answer:

Here, ABC is a right triangle,

In which ∠C = 90°, AB =c, AC= b, BC = a,

Also, p is the length of the perpendicular from c to ab,

We have to prove that:

Proof:

Let D be the point on the segment AB,

Such that CD = p,

In triangle ACB and ADC,

( reflexive )

( Right angle )

By AA similarity postulate,

By the property of similar triangles,

------------ (1)

Now, by the Pythagoras theorem,

Hence, proved.

THERE IS YOUR PROBLEM SOLVED