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Answers
Answer:
to prove: AE =to BE, TRIANGLE DAE IS EQUAL TO 15
proof: triangle EDC is equilateral triangle so
Step-by-step explanation:
de=ce tir ECDis equilateral triangle
DA=CB because ABCD is a square
so,
DA=CB
ED=EC
SO, AB=DC because equilateral triangle and square equilateral triangle all sides are equal and in a square all sides are equal so AB equel to DC
So,
AE=BE
Tri AED congruent to Tri BECBEC
because all sides are equal
to prove: angle DAE is 15 degree
proof: angle aed is 15 degree becauseequilateral triangle all sides are equal and in this triangle angle DEC is divied in to 3 parts angle DEC =15, angle aeb=15 and angle ebc is=30
in triangle aed angle aed =15
DA=DE SIDES ARE EQUAL
SO,angle DAE =15 degree because sides are equal so opposite angles are also equal
so,
angle DAE is equal to 15 degree
hence proved
MARK AS A BRAINLIST
In the adjoining figure, ABCD is a square and is an equilateral triangle. Prove that,
- AE = BE.
Since, ABCD is a square, therefore,
.
Now, is an equilateral triangle.
So,
.
Also,
.
And,
/*Since is an equilateral triangle */
Combining equation (i) and (ii), we get,
In and .
- (ABCD is a square)
- (Sides of equilateral triangle).
- (Proved earlier) .
Therefore,
(By SAS)
So,
- AE=BE (c.p.c.t) (Proved part (i))
Now,
ABCD is a square and sides of triangle DCE are equal to the sides of the square.
So,
AD=DE.
Therefore,
Triangle ADE is an equilateral triangle.
So,
.
Now,
.
So,
.
Hence Proved.