We have to find x and x is the hypotenuse. We use this formula:
hyp²=side²+side²
So:
hyp²=side²+side²
hyp²= 12²+9²
hyp²= 225
hyp²= √225
hyp= 15
Therefore, the hypotenuse is 15 and x is 15.
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Answer:
The required result is proved with the help of angle bisector theorem.
Step-by-step explanation:
Given △ABD and △CBD, AE and CE are the angle bisectors. we have to prove that 
Angle bisector theorem states that an angle bisector of an angle of a Δ divides the opposite side in two segments that are proportional to the other two sides of triangle.
In ΔADB, AE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment AD to the line segment AB.
→ (1)
In ΔDCB, CE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment CD to the line segment CB.
→ (2)
From equation (1) and (2), we get
Hence Proved.
Answer:
0.05357142
Step-by-step explanation:
Rounded to 1 decimal place
