Mathematics: Could someone help me with this problem? If STUV is a kite, SV=24, and SW=21, find TV. (Round to the nearest tenth)

dilbert has 30 inches of his jump ropeStep-by-step explanation:...

Could someone help me with this problem? If STUV

animelover730

18.01.2022

TV = 23.24

Solution:

Given STUV is a kite.

SV = 24, SW = 21.

To find the value of TV:

By the property of kite, diagonals bisect each other at right angles.

S, SWV is a right triangle.

Using Pythagoras theorem,

$\text{Base} $^{2}+$ Height $^{2}=$ Hypotenuse $^{2}$$

$\Rightarrow VW^2+SW^2=SV^2$

$\Rightarrow VW^2+21^2=24^2$

$\Rightarrow VW^2+441=576$

Subtract 441 from both sides of the equation.

$\Rightarrow VW^2=135$

Taking square root on both sides of the equation.

$\Rightarrow VW=3\sqrt{15}$

⇒ VW = 11.62

TV = 2 × VW

TV = 2 × 11.62

TV = 23.24

Hence the value of TV is 23.24.

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