Help me please! i dont know how to do this!!!
1 answer:
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Since ΔABC is a right triangle, we can use the Pythagorean theorem to find the missing side, BC as shown below.
Now, since AN is an altitude formed along BC, we can form two smaller triangles that are both similar with ΔABC.
(An image is attached along the file to show the illustrations of the triangles with the larger one.)
Thus, we have ΔNBA~ΔABC and ΔNAC~ΔABC. So, for ΔNBA and ΔABC, we have
and applying the same process with AN, we have
We can also use the same method to find the missing sides in ΔANC. But, we can immediately find the value of NC as shown.
Since ΔANC is a right triangle and two given lengths, we can find the third side, AN, through Pythagorean theorem.
Thus, we have found all the missing sides. The picture attached also shows the missing sides' lengths in red.
Answer: BC = 25, BN = 16, NC = 9, and AN = 12
Now, since AN is an altitude formed along BC, we can form two smaller triangles that are both similar with ΔABC.
(An image is attached along the file to show the illustrations of the triangles with the larger one.)
Thus, we have ΔNBA~ΔABC and ΔNAC~ΔABC. So, for ΔNBA and ΔABC, we have
and applying the same process with AN, we have
We can also use the same method to find the missing sides in ΔANC. But, we can immediately find the value of NC as shown.
Since ΔANC is a right triangle and two given lengths, we can find the third side, AN, through Pythagorean theorem.
Thus, we have found all the missing sides. The picture attached also shows the missing sides' lengths in red.
Answer: BC = 25, BN = 16, NC = 9, and AN = 12
Answer:
2670 square feet. Option e.
Step-by-step explanation:
Dan and Betty can paint 2,400 square feet in 4 hours.
They can paint in one hour = 600 square feet.
Since given that Betty paints twice as fast as Dan. Let us take an equation:
Let Betty = B, Dan = D and Sue = S
B = 2D
4(B+D) = 2400
4B + 4D = 2400
12D = 2400
D = 200 sq. ft.
B = 2D = 400 sq. ft.
Therefore, Dan can paint 200 square feet in 1 hour and Betty paints twice 400 square feet in 1 hour.
Now given three of them can paint 3,600 square feet in 3 hours.
3( B+D+S) = 3600
3B + 3D + 3S = 3600
3(400) + 3(200) + 3(S) = 3600
1200 + 600 + 3S = 3600
S = 600 Sq. ft.
Sue can paint 600 square feet in one hour.
So sue can paint in 4 hours and 27 minutes.
× 600
= 2670 square feet. Option e.