What is the area of the shape?
2 answers:
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Answer:
≈ 20.8 ft
Step-by-step explanation:
A right triangle is formed between the wall, the ground and the ladder.
The ladder is the hypotenuse , the wall and ground are the legs.
let h be the height of the wall, then using Pythagoras' identity
h² + 33² = 39²
h² + 1089 = 1521 ( subtract 1089 from both sides )
h² = 432 ( take the square root of both sides )
h = ≈ 20.8 ft ( to the nearest tenth )
Talking about a parallelogram, we know that:
opposite sides and angles are congruent
in the picture below:
∠A = ∠C
AD = BC
if one angle is right, then the rest are right as well (making it a rectangle/square)
The consecutive angles are supplementary (meaning they add up to 180)
A + D = 180°
If y and w are consecutive angles, then
w = 180 - 32
=148°
If they are opposite angles, w = 32° (congruent angles)
opposite sides and angles are congruent
in the picture below:
∠A = ∠C
AD = BC
if one angle is right, then the rest are right as well (making it a rectangle/square)
The consecutive angles are supplementary (meaning they add up to 180)
A + D = 180°
If y and w are consecutive angles, then
w = 180 - 32
=148°
If they are opposite angles, w = 32° (congruent angles)