If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.
100 x 2
25 x 8
200 x 1
10 x 20
etc...
Hmm,
ok,
complete square ok
wait wat
he went from
(x-3)²=16 to
x-3=16
?????
he square rooted the left side only
he has to do it to both sides
he should have done
(x-3)²=16
x-3=+/-4
x=3+/-4
x=7 or -1
Answer:
In order of the paragraph:
3, isosceles, greater, 3 in
Step-by-step explanation:
The first drop box has to be 3 because if you add up two sides of a triangle, the sum has to be greater than the third side. If two sides are equal, the triangle is isosceles. The third side cannot be 1 since 1+1 is not greater than 3. So the third side must measure 3in.
