Answer:
ΔABC is a right triangle
length of the concession stand = 42.4 ft (nearest tenth)
Step-by-step explanation:
Given:
- Side length of square A = 30 ft
- Side length of square B = 40 ft
- Side length of square C = 50 ft
We can use Pythagoras' Theorem to prove if ΔABC is a right triangle.
Pythagoras' Theorem: a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right triangle)
Given:
- a = side length of square A = 30
- b = side length of square B = 40
- c = side length of square C = 50
⇒ a² + b² = c²
⇒ 30² + 40² = 50²
⇒ 900 + 1600 = 2500
⇒ 2500 = 2500
Therefore, ΔABC is a right triangle
To find the diagonal of square A, use Pythagoras' Theorem:
Given:
- a = side length of square A = 30
- b = side length of square A = 30
- c = diagonal of square A
⇒ a² + b² = c²
⇒ 30² + 30² = c²
⇒ 900 + 900 = c²
⇒ c² = 1800
⇒ c = √(1800)
⇒ c = 42.42640687
Therefore, the length of the concession stand (diagonal of square A) is 42.4 ft (nearest tenth)
1. D. The triangles have two given sides with an included angle, so the postulate would be SAS.
2. A. The triangles have three given sides, so the postulate would be SSS.
68,246 inches of road had been repaved before today.
Step-by-step explanation:
Given,
Length of road repaved so far = 97338 inches
Length repaved today = 29092 inches
Length repaved before today = Total length repaved - Length repaved today
Length repaved before today = 97338 - 29092
Length repaved before today = 68246 inches
68,246 inches of road had been repaved before today.
Keywords: subtraction
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No.....the correct calculation would be : 27 x 5...then add 25
