SOLUTION: Triangle ABC is isoceles with ABis equal to AC 7.5cm and BC is 9cm. The height AD from A to BC , is 6cm. Find the area of triangle ABC. What will the height be from C to AB i.e CE

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Question 165697: Triangle ABC is isoceles with ABis equal to AC 7.5cm and BC is 9cm. The height AD from A to BC , is 6cm. Find the area of triangle ABC. What will the height be from C to AB i.e CE
Answer by jojo14344(1513)   (Show Source): You can put this solution on YOUR website!

I'll leave the sketch with you okay, & hopefully we can follow together:
We find first the
where, , &
So,

Now , next is interesting in finding CE?
We first get by trigo function of right triangle. How?
Since AD split the base(BC) in to half, right? Same as .
That forms a right triangle (ADB).



.
Now we know line CE(?) cuts line AB into half:, right?
That forms a triangle and we'll use Cosine Law in getting line CE.

where ---
Continuing,




Thank you,
Jojo


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