Kevin drew a diagonal inside a quadrilateral. He realizes the it always make 2 congruent isosceles triangleso. What kind of quad
1 answer:
Answer:
The square is the quadrilateral.
Step-by-step explanation:
A quadrilateral is a 2 dimensional geometric shape. It has four sides which may be or may not be equal.
If a quadrilateral is a square and we make its diagonal so that we get two triangles.
These two triangles are isosceles triangle as the two sides are equal and the square has four equal sides and the triangles are congruent to each other.
here, the triangles ABC and ADC are congruent and isosceles.
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Answer: Yes the ladder will reach the fire
Step-by-step explanation: Please refer to the attached diagram for details.
The fire is at point A, while the top of the truck is at point C. The fire is actually burning at 22 feet off the ground, but because the fire truck itself is already 6 feet off the ground, the point that would serve as the base of the building would be 16 feet from the third floor (which is 22 feet minus 6 feet). Hence, point A to point B is 16 feet. So we need to calculate if line AC (from the truck to the fire at the third floor, labeled as b) shall equal the length of the ladder which is 16-foot long.
The angle of the ladder with the top of the truck is 75 degrees. Therefore,
Sin 75 = opposite/hypotenuse
Sin 75 = 16/b
By cross multiplication we now have
b = 16/Sin 75
b = 16/0.9659
b = 16.56
If the distance from A to C is 16.56 feet, then the 16-foot long ladder would reach the fire.
