Question

please solve this:

The diagonal of a quadrilateral measures 24 cm and the lengths of the
perpendiculars drawn to it from the opposite vertices is in the ratio 3: 2. Find
the lengths of the perpendiculars, if the area of the quadrilateral is 390 m². ​

Answer 1

Answer:

In right angles triangle BAC, AB=5cm and AC=12cm

Area of triangle=

2

1

×base×height=

2

1

×AB×AC

=

2

1

×5×12=30cm

2

Now, in ΔABC,

Area of triangle ABC=

2

1

×BC×AD

⇒30=

2

1

×13×AD

⇒ AD=

13

30×2

=

13

60

cm.

Answer 2

Answer:

The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m . Find

Step-by-step explanation:

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