AE = AC = 4
m<CAB = 60 (equilateral triangle)
m<CAE = 90 (square)
m<BAE = 150 (= 60 + 90)
Triangle BAE is isosceles since AB = AE;
therefore, m<AEB = m<ABE.
m<AEB + m<ABE + m<BAE = 180
m<AEB + m< ABE + 150 = 180
m<AEB + m<AEB = 30
m<AEB = 15
In triangle ABE, we know AE = AB = 4;
we also know m<BAE = 150, and m<AEB = 15.
We can use the law of sines to find BE.
BE/(sin 150) = 4/(sin 15)
BE = (4 sin 150)/(sin 15)
BE = 7.727
Answer:
3
(
3
)
+
6
(
2
)
+
2
=
2
(
3
)
+
3
(
2
)
+
5
Step-by-step explanation:
Answer:
The answer is 6cm
Step-by-step explanation:
Answer:
26.75 units ^2
Step-by-step explanation:
Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:
Triangle 1 = 1/2 x 2 x 5 = 5 units ^2
Triangle 2 = 1/2 x 2 x 2 = 2 units ^2
Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2
Square = 2 x 2 = 4 units squared.
Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.
Hope this helps
60 times larger.
Hope I helped!!!