.......find the length of the diagonal
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Given :
To Find :
Solution :
Area of Quadrilateral = d/2 ( h₁ + h₂ )
→ 360 = d/2 ( 5 + 13 )
→ 360 = d/2 × 18
→ 360 = d × 9
→ d = 360/9
→ d = 40 cm
Length of diagonal is 40 cm
YOUR QUESTION :
The area of a quadrilateral is 360 cm². The perpendiculars from the two opposite vertices to the diagonal are 5 cm and 13 cm. What is the leangth of the diagonal?
YOUR ANSWER :
Given :
To find :
Formula :
✔Area of quadrilateral = d/2 (h1+h2)
Calculation :
360 = d/2 (5+13)
=> 360 = d/2 × 18
=> 360 = d × 9
=> d = 360/9
=> d = 40 cm.
ANSWER :
[tex]\green{\boxed{\boxed{\boxed{ 40 \: cm }}}} [/tex]