I need help on this one and please only answer if you know not to ask a question. Plz explain how you got your answer
1 answer:
Answer:
Answer A (or C. Both were very close)
Step-by-step explanation:
I don't know what "please only answer if you know not to ask a question" means.
Since ∠ADB is 90° and ∠BAD is 36°, then ∠ABD is 180-90-36 or 54°.
You could just try using the Pythagorean Theorem for all the answer choices.
(a²+b²=c² where a and b are the legs and c is the hypotenuse)
A.
11²+8²=c²
121+64=c²
c=
c ≈ 13.60
B.
I don't need to prove this because the shorter legs' sum is greater than the hypotenuse and will not make a triangle.
C.
15.1²+11²=c²
288.01+121=c²
c=
c ≈ 18.68 ≈ 18.7
D.
I don't need to prove this because the shorter legs' sum is greater than the hypotenuse and will not make a triangle.
I think answer A is the best since it rounds closer to the answer in the row. It was pretty close between C and A so you can decide if you'd like but I suggest A because it's a closer rounding.
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Answer:
The correct option is A.
Step-by-step explanation:
It is given that the QRST is a parallelogram and the diagonals QS and RT are congruent.
According to the property of parallelogram if the length of diagonals are same, then the parallelogram is rectangle. We can also prove it.
Let QRST be an parallelogram and QS=RT.
In triangles QRT and RQS.
(Diagonals)
(Common side)
(Opposite sides of the parallelogram are same)
So by SSS rule of congruence, triangle QRT and triangle RQS are congruent.
By CPCT,
Since the sum of two consecutive angles of a parallelogram is 180 degree.
Therefore the measure of angle R and angle Q are 90 degree.
Similarly in triangle QST and RTS,
(Diagonals)
(Common side)
(Opposite sides of the parallelogram are same)
So by SSS rule of congruence, triangle QST and RTS are congruent.
By CPCT,
Since the sum of two consecutive angles of a parallelogram is 180 degree.
Therefore the measure of angle S and angle T are 90 degree.
Since the measure of all interior angles of QRST are 90 degree, therefore the parallelogram QRST is a rectangle.
