An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triang
1 answer:
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Answer:
2) ABCD is a RECTANGLE.
Perimeter = 30 units
Step-by-step explanation:
Here, the given points of the quadrilateral are:
A(6, –4), B(11, –4), C(11, 6), D(6, 6)
Now, if P(a,b) and Q(c,d) are any two given points, then the distance between them is given by DISTANCE FORMULA as:
Use this to find the length of all 4 sides:
AB with coordinates A(6, –4), B(11, –4) is given as:
⇒ AB = 5 units
BC with coordinates B(11, –4), C(11, 6) is given as:
⇒ BC = 10 units
CD with coordinates C(11, 6), D(6, 6) is given as:
⇒ CD = 5 units
AD with coordinates A(6, –4),D(6, 6) is given as:
⇒ AD = 10 units
Now, here AB = CD = 5 units, AD = BC = 10 units
Also, in a RECTANGLE, OPPOSITE SIDES ARE EQUAL IN LENGTH.
Hence, ABCD is a RECTANGLE.
Perimeter = AB + BC+ CD + AD = 5 + 10 + 5 + 10 = 30 units
Answer:
Step-by-step explanation:
Left triangle: it has two congruent legs because has an angle of 45 degrees
AB = cm
the triangle on the the right is half on an equilateral one
BC = 12 cm
CH = 6√3 cm
AC= (6 + 6√3) cm
2p = 6 + 6√3 + 12 + 6√2 = 18 + 6√3 + 6√2 = 6(3 + √3 + √2) cm
Area = [6(1+√3) * 6]/2 = 18(1+√3) cm^2