Area of a triangle = (1/2)*base*height
For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.
5.
First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle,
, where c is the hypotenuse and a and b are the sides of the triangle.
Substituting the given values and rounding to nearest tenth:

Now that you have the height, you can find the area of the entire triangle.
A = (1/2)*base*height
A = (1/2)*8.8*9.0 = 39.6
6.
Same procedure.

A = (1/2)*base*height
A = (1/2)*7.6*9.2 = 35.0
Two numbers = 37
Larger number is x, so the smaller number is 37 - x:
x + (37 - x) = 37
“The difference” is subtraction, so we are subtracting the smaller and larger number.
“Nine more than twice the larger number” looks like 9 + 2x, and “the sum of the smaller number and three” looks like (37 - x) + 3. Because this is subtraction, we would write (9 + 2x) - (37 - x) + 3. First, distribute the negative sign:
-(37 - x) = -37 + x
We then simplify:
9 + 2x - 37 + x + 3 (subtract 3)
9 + 2x - 34 + x
-25 + 2x + x (subtract 8 and 34 then add 2x and x)
-25 + 3x
Answer:
161
Step-by-step explanation:
350*0.46=161
Answer:
perimeter is 36 inches and the area is 32 square inches