Question

the two diagonals of a parralleogram are 7.5cm and 6.5cm . perpendicular to the longer diagonal from opposite vertex is 2.6cm .find the perpendicular to the shorter diagonal from it's opposite vertex

Answer 1

Answer:

The length of perpendicular to shorter diagonal is 3 cm from it's opposite vertex.

Step-by-step explanation:

The two diagonals of a parallelogram are 7.5 cm and 6.5 cm

The length of perpendicular to the longer diagonal from the opposite vertex is 2.6 cm.

Let the length of perpendicular to the shorter diagonal from opposite vertex be p cm

Area of parallelogram = Length of diagonal x Length of corresponding  perpendicular

Length of longer diagonal x Perpendicular length = Length of shorter diagonal x Perpendicular length

7.5 x 2.6 = 6.5 x p

Now we will solve for p

$p=\dfrac{7.5\times 2.6}{6.5}\Rightarrow 3$ cm

Hence, The length of perpendicular to shorter diagonal is 3 cm from it's opposite vertex.

Answer 2

Step-by-step explanation:

The two diagonals of a parallelogram are 7.5 cm and 6.5 cm

The length of perpendicular to the longer diagonal from the opposite vertex is 2.6 cm.

Let the length of perpendicular to the shorter diagonal from opposite vertex be p cm

Area of parallelogram = Length of diagonal x Length of corresponding perpendicular

Length of longer diagonal x Perpendicular length = Length of shorter diagonal x Perpendicular length

7.5 x 2.6 = 6.5 x p

Now we will solve for p

p=\dfrac{7.5\times 2.6}{6.5}\Rightarrow 3p=

6.5

7.5×2.6

⇒3 cm