SOLUTION: In the diagram shown in the image, ⊙A is tangent to ⊙C, and BD is tangent to ⊙A. The radius of ⊙A is 7 meters, and the radius of ⊙C is 4 meters. What is the area, to the

Algebra.Com
Question 1183546: In the diagram shown in the image, ⊙A is tangent to ⊙C, and BD is tangent to ⊙A. The radius of ⊙A is 7 meters, and the radius of ⊙C is 4 meters. What is the area, to the nearest square centimeter, of △ADB? Here is a link to the image: https://imgur.com/a/WQnYGaB
Answer by ikleyn(52915)   (Show Source): You can put this solution on YOUR website!
.
In the diagram shown in the image, ⊙A is tangent to ⊙C, and BD is tangent to ⊙A.
The radius of ⊙A is 7 meters, and the radius of ⊙C is 4 meters.
What is the area, to the nearest square centimeter, of △ADB?
Here is a link to the image: https://imgur.com/a/WQnYGaB
~~~~~~~~~~~~ 

Triangle ADB is a right-angled triangle.


Its leg AB has the length of 7 meters;  its hypotenuse is  AD = 7 + 4 + 4 = 15 meters.


HENCE, its other leg is   =  =  = .


The area of this right-angled triangle is half the product of its legs


    area =  =  =  = 46.43274706 square meters.    ANSWER

Solved and explained.



RELATED QUESTIONS

As shown in the diagram, a circle with centre A and radius 9 is tangent to a smaller... (answered by Edwin McCravy)
What is the sine, cosine and tangent of ∠E in the triangle shown in the image? Here is... (answered by themasterofcircuits)
in the diagram, RS is a radius of circle R. Is ST tangent to circle R?... (answered by solver91311)
1. Which of the following is a true statement about a tangent and a radius? A. A tangent (answered by richwmiller)
in each diagram, line ZY is tangent to circles O and P. Find the value of x circle O... (answered by RAY100)
Each of two congruent circles drawn in the interior of a square is tangent to two... (answered by Fombitz)
Circles M & N (centered at points M and N respectively) are tangent to each other and to... (answered by greenestamps,ikleyn,jim_thompson5910)
Two circles are tangent to each other at A and the centre of the larger circle is at C.... (answered by greenestamps)
what is the equation of a circle having radius of 5 and tangent to both... (answered by jim_thompson5910,Alan3354)