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★ Solution :-
We need to find the value of x
Here , the line which has length of 12 units is the height. Since , the given ∆ has two equal sides it is a isosceles ∆ with base x.
Now , by seeing the diagram in the given picture
Using pythagoras theorem
Hypotenuse² = Base² + Height²
→ 15² = 12² + (x/2)²
→ 225 - 144 = x²/4
→ 81 = x²/4
→ 81 × 4 = x²
→ √81 × 4 = x
→ √81 × √4 = x
→ 9 × 2 = x
→ x = 18
Hence , x = 18 units.
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18
Step-by-step explanation
called: is y
according to the pythagorean theorem, we have:
so: x=y*2=9*2=18
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