a triangle and a parallelogram is 10 centimetre find the altitude of the triangle
Answers
Answered by
2
Answer:
7.5 is the altitude
Step-by-step explanation:
The given figure ABCD is a parallelogram with AO is the altitude corresponding to the side CD and CP is the altitude corresponding to side AD.
⇒ The given sides of the parallelogram are 10cm and 15cm.
So, take AD = 10cm, CD = 15cm and AO = 5cm.
We have to find length of CP.
⇒ Area of a parallelogram with with base AB and altitude AO is,
∴ Area of parallelogram ABCD=AB×AO
⇒15×5 -- (substituting values)
∴ Area of parallelogram =75 cm
⇒ Area of parallelogram ABCD with base AD and altitude CP, as area will remain same.
∴ Area of parallelogram ABCD=AD×CD
⇒75=10×CD
∴CD=7.5cm
We get 7.5 is the altitude to the side of length 10cm.
Similar questions