Answer:
area is equal to 198 cm^2
Step-by-step explanation:
the height h of the left triangle can be obtained by
Pytagoras theorem:
![5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12](https://tex.z-dn.net/?f=5%5E2%2Bh%5E2%3D13%5E2%5C%5C25%2Bh%5E2%3D169%5C%5Ch%5E2%3D169-25%5C%5Ch%5E2%3D144%5C%5Ch%3D%5Csqrt%7B144%7D%20%5C%5Ch%3D12)
the, the area of the left triangle is
![A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30](https://tex.z-dn.net/?f=A_1%3D%5Cfrac%7B5%2A12%7D%7B2%7D%20%5C%5CA_1%3D5%2A6%5C%5CA_1%3D30)
the area of the right triangle is
![A_2=\frac{2*12}{2} \\A_2=12](https://tex.z-dn.net/?f=A_2%3D%5Cfrac%7B2%2A12%7D%7B2%7D%20%5C%5CA_2%3D12)
and the area of the rectangle in the middle is
![A_3=(13)(12)\\A_3=156](https://tex.z-dn.net/?f=A_3%3D%2813%29%2812%29%5C%5CA_3%3D156)
Por tanto, el area total sera
![A=A_1+A_2+A_3\\A=30+12+156\\A=198](https://tex.z-dn.net/?f=A%3DA_1%2BA_2%2BA_3%5C%5CA%3D30%2B12%2B156%5C%5CA%3D198)
The trapezoid,segment is false
Answer:
125 p^3 g^3
Step-by-step explanation:
(5pg)^3
We know that (ab)^c = a^c * b^c
5^3 p^3 g^3
125 p^3 g^3
![\large \mathfrak{Solution : }](https://tex.z-dn.net/?f=%5Clarge%20%5Cmathfrak%7BSolution%20%3A%20%7D)
Common difference of an Arithmetic progression can be found out by subtracting the preceding term from that given term.
i.e
therefore, the common difference of the above Arithmetic progression is -4 .