Question

the adjacents sides of parallelogram are 12cm and 8cm . the length of the altitude corresponding to the side 12cm is 6cm . find the length of the altitude corresponding to the other side​

Answer 1

Answer:

• Length of altitude corresponding to side 8 cm is 9 cm.

Step-by-step explanation:

Given :-

• Two adjacent sides of parallelogram are 12 cm and 8 cm.
• Length of altitude corresponding to side 12 cm is 6 cm.

To find :-

• Length of altitude corresponding to side 8 cm.

Solution :-

We know,

Area of parallelogram = Base × height

• We know, altitude and height are same.

So,

Base = 12 cm.

Height = 6 cm.

Then,

⇒Area = 12 × 6

⇒Area = 72

Area of parallelogram is 72 cm².

Now, If we see parallelogram taking base 8 cm. Then area of parallelogram will be same.

So,

Base = 8 cm

Let, height or altitude be h.

Now, Put all values in area of parallelogram formula :

⇒72 = 8 × h

⇒72/8 = h

⇒h = 9

We take h be altitude.

Therefore,

Length of altitude corresponding to side 8 cm is 9 cm.

Answer 2

Answer:

➪ Length of the altitude corresponding to the other side is 9cm

Step-by-step explanation:

Given that,

➡ Adjacent sides of a parallelogram are 12cm and 8cm.

➡ The altitude measures corresponding to the side 12cm is 6cm.

❐ Step 1 :

Area of the parallelogram is given by :

➙ A = b * h

Here taking dimensions as :

A (area of the parallelogram)

b (base) = 12cm.

h (height) = 6cm.

From the given values :

→ A = 12*6

→ A = 72cm²

$\sf \therefore{ \underline{We \: got \: area \: of \: the \: parallelogram \: = \: {72cm}^{2} }}$

❐ Step 2 :

• If we assume 8cm as the base of the parallelogram we can say that,

➙ Area of the parallelogram is 72cm²

Where,

b (base) = 8cm

h (altitude corresponding to the other side)

A (area) = 72cm.

Again,

→ A = b * h

→ 72 = 8 * h

→ 72/8 = h

→ h = 9cm.

$\therefore$ The length of the altitude corresponding side 8cm is 9cm ${\boxed{\green{\checkmark{}}}}$