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Right Triangles and Trigonometry
Special right triangles: Decimal answers
QUESTION
For the right triangles below, find the values of the side lengths 
c and 
h.
Round your answers to the nearest tenth.
EXPLANATION
Bacikground:
A right triangle with angle measures of 
45^(@),45^(@), and 
90^(@) is considered special.

In a 45-45-90 trianqle, if a leq has lenqth 
x, then the hypotenuse has lena

◻

www-awu.aleks.com/alekscgi/x/lsl.exe/11o_U-lgNsIkr77j88P33jH-JJjXwPdiwdonGg99 Right Triangles and Trigonometry Special right triangles: Decimal answers QUESTION For the right triangles below, find the values of the side lengths cc and hh. Round your answers to the nearest tenth. EXPLANATION Bacikground: A right triangle with angle measures of 4545^{\circ}, 4545^{\circ}, and 9090^{\circ} is considered special. In a 4545-4545-9090 triangle, if a leg has length xx, then the hypotenuse has length 2x\sqrt{2}x.

Full solution

Q. www-awu.aleks.com/alekscgi/x/lsl.exe/11o_U-lgNsIkr77j88P33jH-JJjXwPdiwdonGg99 Right Triangles and Trigonometry Special right triangles: Decimal answers QUESTION For the right triangles below, find the values of the side lengths cc and hh. Round your answers to the nearest tenth. EXPLANATION Bacikground: A right triangle with angle measures of 4545^{\circ}, 4545^{\circ}, and 9090^{\circ} is considered special. In a 4545-4545-9090 triangle, if a leg has length xx, then the hypotenuse has length 2x\sqrt{2}x.
  1. Identify Properties: Identify the properties of a 45459045-45-90 triangle: In this type of triangle, both legs are equal, and the hypotenuse is x2x\sqrt{2}, where xx is the length of each leg.
  2. Calculate Hypotenuse: Given that one leg xx is not specified, assume x=1x = 1 for simplicity in calculation. Calculate the hypotenuse cc: c=x2=121.4c = x\sqrt{2} = 1\sqrt{2} \approx 1.4 when rounded to the nearest tenth.
  3. Calculate Other Leg: Since it's a 454545-4590-90 triangle, the other leg hh is also equal to xx. Therefore, h=1h = 1.

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