What is the value of x?
1 answer:
Answer:
3√2 units
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene, obtuse, acute and right angled triangle.
In a right angled triangle, the hypotenuse is the side with the longest length. Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the remaining two legs
The value of x can be gotten using Pythagoras theorem.
y² = h² + 3² (1)
x² = h² + 3² (2)
(3 + 3)² = x² + y² (3)
Substituting y² = h² + 3² and x² = h² + 3² into equation 3 gives:
(3 + 3)² = (h² + 3²) + (h² + 3²)
36 = h² + h² + 9 + 9
2h² + 18 = 36
2h² = 18
h² = 9
h = 3
Put h = 3, into equation 2 to get the value of x:
x² = 3² + 3²
x² = 9 + 9 = 18
x = √18 = 3√2 units
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