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Answer:
The proof is given below.
Step-by-step explanation:
Given the two triangles which are similar we have to prove that the ratio of their angle bisectors and the side or we can say that the ratio of their altitude are proportional.
In ΔABP and ΔDEQ
∠1=∠2 (Given)
∠3=∠4 (each 90°)
By AA similarity rule ΔABP≅ΔDEQ
As if the two triangles are similar then their corresponding sides are proportional
⇒
Hence, Corresponding angle bisectors of similar triangles are proportional and their ratio is equal to the ratio of altitude.
Answer:
The radius of Astrodome is 355.09 foot,
The Area of Astrodome is 395919.146 square foot .
Step-by-step explanation:
Given as :
The circumference of Astrodome = 2230 foot
∵ The circumference of circular shape = 2 × × radius
where = 3.14
So, The circumference of Astrodome = 2 × × radius
Or, 2230 foot = 2 × 3.14 × radius
Or, 2230 foot = 6.28 × radius
∴ radius =
I.e radius = 355.09 foot
Now,
∵The area of circular shape = × radius²
So, The area of Astrodome = × radius²
Or, The area of Astrodome = 3.14 × radius²
Put the value of radius = 355.09 foot
So , The area of Astrodome = 3.14 × (355.09)²
or, The area of Astrodome = 3.14 × 126088.9
∴ The area of Astrodome = 395919.146 square foot
Hence , The radius of Astrodome is 355.09 foot, and The Area of Astrodome is 395919.146 square foot . Answer