Acircle with radius r is inscribed into a right triangle. find the perimeter of the triangle if the length of the hypotenuse is 24 cm and r=4 cm;

The perimeter of the triangle is 56 cm.

Step-by-step explanation:

Given:

The length of the hypotenuse is 24 cm

Radius of the circle r=4 cm

To Find:

The perimeter of the triangle=?

Solution:

Let us see the below diagram representing situation.  

Here, first we have drawn the radius of circle perpendicular to the sides of triangle,

We have Taken PB = 4 because, it is a side of square formed there, and we take OC as x.

Then, QC also becomes x as they are tangents from single point, so they are equal.

Now, AQ becomes 24 – x as AC is 24 according to given information.

So, perimeter = AB + BC + CA  

Perimeter = (24 – x + 4) + (4 + x) + (24 – x + x)

Perimeter = 28 – x + 4 + x + 24  

Perimeter = 28 + 28 = 56

Hence, the perimeter of the triangle is 56 cm.

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we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .