You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²)
b = 9.16
With these values, we can find the hypotenuse in the triangle "B":
x = √b²+c²
x = √(9.16)²+(4)²
x = 10
Answer:
The lengths are 5, 12, and 13.
Step-by-step explanation:
Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.
The Pythagorean Theorem may be used to find the lengths.
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a, b are the short and long lengths and c is the hypotenuse
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(The length cannot be negative)
The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.
Answer:
6.5
Step-by-step explanation:
I'm not sure if its right but:
(2 × x) - 8 = 5
2x = 13
x = 6.5
Answer:
Here
Step-by-step explanation:
length = x
width = 2x - 3
Perimeter = 2length + 2 width
2x + 2(2x - 3) = 42
2x + 4x - 6 =42
6x - 6 = 42
Add 6 to both sides
6x = 48
Divide both sides by 6
x = 8
Length = 8 inches
Width = 2(8) - 3 = 16-3 = 13 inches