Answer: side c is 20!
Step-by-step explanation:
So since this a right-angled triangle, you might want to use the Pythagorean Theorem. First, use the formula A(squared) + B(squared) + C(squared). Since c is unknown just put that as x(squared). Then, answer A(squared) and B(squared which would be 16mm and 12mm in this case. Multiply 16*16.... and you get 256. Then do the same to side B which is 12 and you get 144. Then know you can add them both together and get 400. What is the square root of 400? Yes, it’s 20. And there is you answer!
256² = (256)·(256) = 65,536
Answer:
A) 24 ft³
Step-by-step explanation:
The area of the right triangle base is ...
A = (1/2)(3)(4) = 6 ft²
The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).
V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A
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<em>Comment on the triangle</em>
You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:
5² = 3² +4²
25 = 9 + 16 . . . . . true; so the triangle is a right triangle
In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.
Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.
A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle
Answer:
The shaded area is 
Step-by-step explanation:
we know that
The shaded area is equal to the area of the large square minus the area of the two smaller squares
so
---> expression that represent the shaded area
Calculate the shaded area
Remember that
substitute
Answer:
C.
Step-by-step explanation:
I believe it is C.
