Question

find the area of quadrilateral whose diagonal is 10 cm and altitude on the diagonals are 4cm and 6cm​

Answer 1

Answer:

Step-by-step explanation:

Let the sides of quadrilateral be A, B, C, and D cm.

Given:-

length of one diagonal of quadrilateral (BD) = 10cm

lengths of the perpendiculars drawn from it on other vertices = 4cm and 6cm.

Solution :-

Now, according to our question,

Area of quadrilateral ABCD = 1/2 × length of one diagonal × sum of the lengths of the perpendiculars that are drawn from it on the other vertices.

⇒Area of quadrilateral = 1/2 × 10cm × ( 4 + 6)cm

⇒Area of quadilateral = 1/2 × 10cm × 10cm

⇒Area of quadrilateral = 100/2cm²

⇒Area of quadrilateral = 50cm²

Therefore, area of given quadrilateral is 50cm².