Question

ABC is a right triangle right angled at B such that BC = 6cm and AB =8 cm . Find the radius of its incircle

Answer 1

6 unit will be the answer

Answer 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Our aim is to find the radius of its in-circle.

We know that ABC is a right angled triangle, and we also know that BC is equal to 6cm and AB is equal to 8cm.

In order to find AC, we will use Pythagoras theorem.

>> AB^2 + BC^2 = AC^2

From this we can conclude that AC = 10 cm.

Then, we can draw an in-circle as is shown in the picture bellow.

Now, in order to get our radius we have that AC= 8 - x + 6 - x

, this means that AC = 14 - 2x

.

We already know that AC is equal to 10 cm, then 14 - 2x = 10

, this means that 2x = 4  which is equivalent to say that x = 2 cm.

Hence, the radius of the in-circle of the triangle ABC is equal to 2 cm.

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