Round 5,693.251 to thousands and tenths
1 answer:
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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:
Area of the given triangle = 6.51 ft²
Step-by-step explanation:
If we redraw the triangle as shown in the figure attached we get the height of the triangle as x feet and base = 4.3 feet
Therefore area of ΔABC = (1/2) × Height (AD) × Base(BC)
From ΔABD
sin 53 = AD/AB = x/3.8
x = 3.8 × sin 53
= 3.8 × 0.7986 = 3.03 feet
Now area of ΔABC = (1/2)×3.03×4.3 = 6.51 feet²
