Answer:

Step-by-step explanation:
Answer:
Step-by-step explanation:
1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 10² + 24²
h = √676
h = 26
(b). Hypotenuse² = (Leg 1)² + (Leg 2)²
(25)² = (15)² + (leg 2)²
Leg 2 = √(625 - 225)
= √400
= 20
(c). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 4² + 6²
h = √(16 + 36)
h = √52
h = 2√13
(d). Hypotenuse² = (Leg 1)² + (Leg 2)²
(14)² = (Leg 1)² + 7²
Leg 1 = √(196 - 49)
= √147
= 7√3
2). Hypotenuse² = (Leg 1)² + (Leg 2)²
Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]
h² = 7² + 7²
h = √98
h = 7√2
Option (1) is the correct option.
3). Hypotenuse² = (Leg 1)² + (Leg 2)²
(26)² = (Leg 1)² + (10)²
Leg 1 = √(676 - 100) = 24
Area of a right triangle = 
= 
= 120 square units
Option (3) is the correct option.
Answer:
842 Fahrenheit, 723.15 Kelvin
Step-by-step explanation:
(450C * 9/5) + 32 = 810 + 32 = 842 Fahrenheit
450C + 273.15 = 723.15 Kelvin
First let us assign the variables for the two lengths:
x = 1st integer
x + 1 = 2nd consecutive integer = the
hypotenuse of the right triangle
The 2nd consecutive integer should be the hypotenuse
since its value should be highest among the three sides.
Now using the hypotenuse formula we calculate for x:
(x + 1)^2 = 5^2 + x^2
x^2 + 2x + 1 = 25 + x^2
2x + 1 = 25
2x = 24
x = 12 m
So other integer is
x + 1 = 13 m
Therefore the other sides are 12 m and 13 m.