What is the value of x?
1 answer:
Please combine these steps with the photograph provided below.
We know the longest side of the new right-angled triangle is 10, as it is simply the radius
We know one of the shorter sides would be 6 as line x cuts the chord, of length 12, in half
Therefore use Pythagoras Theorem to find X
So 10²= 6² + x²
X²= 10²-6²
X²=100-36= 64
X²=64
X= √64 = 8
X=8
We know the longest side of the new right-angled triangle is 10, as it is simply the radius
We know one of the shorter sides would be 6 as line x cuts the chord, of length 12, in half
Therefore use Pythagoras Theorem to find X
So 10²= 6² + x²
X²= 10²-6²
X²=100-36= 64
X²=64
X= √64 = 8
X=8
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Answer:
x = 8
Step-by-step explanation:
Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is
=
, substitute values
=
=
( cross- multiply )
3x = x + 16 ( subtract x from both sides )
2x = 16 ( divide both sides by 2 )
x = 8