The length of kite’s shorter diagonal is 39 inches.
A kite is a quadrilateral (has four sides and four angles) in which adjacent sides are congruent and the diagonal bisect at 90 degrees.
Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches. Hence half the length of the base = 80/2 = 40. The base = diagonal = 80 inches
Using Pythagoras:
41² = d₁² + 40²
d₁ = 9 inches
Also:
50² = d₂² + 40²
d₂ = 30 inches
Length of diagonal = 9 + 30 = 39 inches
The length of kite’s shorter diagonal is 39 inches.
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