The formula for the area of a triangle is A = 1/2 x b x height. But, we don't have the height here. To find the height, we can use the Pythagorean theorem.
With Pythagorean theorem, we'll be finding one of the legs. If we split the original triangle in 1/2 from the vertex to the base, we now have two right triangles. Both of these right triangles have a 30 cm hypotenuse and one 13 cm leg (remember we divided the entire original triangle in half).
30^2 = 13^2 + b^2
169 + b^2 = 900
b^2 = 731
b =
Now that we know the height of the triangle, we can find the area.
A = 1/2 x 26 x
A = 13 x
A = 351.48
The final area, rounded to the nearest whole number is 351 centimeters squared.
Note: Please know that depending on if the answer rounded before using it to find the area, the final answer may then be rounded to 352.
Hope this helps! :)
Answer:
Yes
Step-by-step explanation:
A^2+B^2=C^2
11^2+60^2=61^2
121+3600=3721
3721=3721
:)
Perimeter formula: p = 2(w + l)
The perimeter is 62.
p = 62
The width of a rectangle is 5 feet less than the length.
w = l - 5
Substitute and solve.
62 = 2[(l - 5) + l)]
62 = 2l + 2l - 10
62 = 4l - 10
72 = 4l
18 = l
Substitute and solve for the width
w = 18 - 5
w = 13
Therefore, the length is 18 and the width is 13.
Best of Luck!
Answer:
Step-by-step explanation:
3(2 + 4x) = -7 x 2 Distribute the 3
6 + 12x = -14 Subtract 6 from both sides of the equation
12x = -20 Divide both sides by 12
x = Divide the top and the bottom of the fraction by 4
x =