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cluponka [151]
3 years ago
11

Lisa is repairing fences on a piece of ranch land. She needs to arrive at point A from point B in the diagram. But the land ther

e is low and sometimes floods. Before she decides to risk it, she wants to know how much distance she’ll save if she goes straight from B to A instead of taking the dry path from B to C to A. Angle BCA is a right angle. AC = BC + 21 feet, and AB = BC + 24 feet. a triangle diagram representing Lisa's path If Lisa travels straight from B to A, she’ll walk feet, which will save her feet compared with traveling the longer, drier path.

Mathematics
2 answers:
mihalych1998 [28]3 years ago
4 0

Answer:

Step-by-step explanation:

In this problem, you need to apply the Pythagorean theorem because you know this is a right triangle. The path from B to C to A is a right angle.

AB^{2}=BC^{2}+AC^{2}

The only unknown is going to be BC, you can arrange again this

BC^{2}=AC^{2} - AB^{2}

and change the values

BC^{2} =(BC + 21feet)^{2} - (BC + 24feet) ^{2}

BC^{2} =(BC^{2} +2*21feet*BC+21^{2}feet) +( BC^{2} +2*24feet*BC +24^{2}feet)

BC^{2}=6BC+476-441\\BC^{2}=6BC+135\\BC^{2}-6BC-135=0

and apply Bhaskara rule

BC=15

Now you can come back and know all the lengths

AC=BC+21feet\\AC=36feet\\AB=BC+24feet\\AB=39feet\\BC=15feet

IgorLugansk [536]3 years ago
3 0
Correction from my spelling,

If she walks from A to C to B*

If you have any question upon my solution, please ask !

Hope this helps you :)

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