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:
![a^2+b^2=c^2\\4.4^2+h^2=10^2\\h=9.0](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2%5C%5C4.4%5E2%2Bh%5E2%3D10%5E2%5C%5Ch%3D9.0)
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^2+b^2=c^2\\3.8^2+h^2=10^2\\h=9.2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2%5C%5C3.8%5E2%2Bh%5E2%3D10%5E2%5C%5Ch%3D9.2)
A = (1/2)*base*height
A = (1/2)*7.6*9.2 = 35.0
Answer:
x = 25
Step-by-step explanation:
they both have the same angle making them both 150. 4 x 25 = 100 and 100 + 50 = 150. there you go honey have a wonderful day ^^
Firstly, add 7 on both sides of the equation:
![\frac{5}{2}x=\frac{3}{4}x+21](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B2%7Dx%3D%5Cfrac%7B3%7D%7B4%7Dx%2B21%20)
Next, before you can subtract 3/4x on both sides, you first have to find the LCD, or lowest common denominator, of 2 and 4. To find it, you would list the multiples of both and the lowest multiple they share is their LCD. In this case, the LCD is 4. Multiply 5/2 by 2/2 and 3/4 by 1/1:
![\frac{5}{2}\times\frac{2}{2} =\frac{10}{4}\\\\\frac{3}{4}\times \frac{1}{1}=\frac{3}{4}\\\\\frac{10}{4}x=\frac{3}{4}x+21](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B2%7D%5Ctimes%5Cfrac%7B2%7D%7B2%7D%20%3D%5Cfrac%7B10%7D%7B4%7D%5C%5C%5C%5C%5Cfrac%7B3%7D%7B4%7D%5Ctimes%20%5Cfrac%7B1%7D%7B1%7D%3D%5Cfrac%7B3%7D%7B4%7D%5C%5C%5C%5C%5Cfrac%7B10%7D%7B4%7Dx%3D%5Cfrac%7B3%7D%7B4%7Dx%2B21%20)
Now subtract 3/4x on both sides of the equation: ![\frac{7}{4}x=21](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B4%7Dx%3D21%20)
Lastly, multiply both sides by 4/7 and <u>your answer will be x = 12.</u>
So I dont have all the answers but I hope this helps:
a) (5,4) and (6,3)
b) (1,3), (2,4), (5,7), (6,8)
Im stuck in the last question, but I hope this helped you