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boxergirl9875

09.01.2023

Mathematics

The perimeter of triangle is 23.7 in

Step-by-step explanation:

Please find the attachment for figure.

A right angle triangle measure 30°, 60° and 90°

whose hypotenuse is 10 inches

Let the side of triangles be a, b and c

where a and b are legs and c=10

Using trigonometry ratio:

$\sin\theta = \dfrac{a}{c}$

$\cos\theta = \dfrac{b}{c}$

$\theta = 60^\circ$

$a=10\sin60^\circ\approx 8.66$

$b=10\cos60^\circ\approx 5$

The sides of right angle triangle are 10 in, 5 in, 8.66 in

Perimeter of triangle = a + b + c

= 8.66 + 5 + 10

Perimeter of triangle = 23.66 ≈ 23.7 in

Hence, The perimeter of triangle is 23.7 in

Atriangle has angles that measure 30o, 60o, and 90o. the hypotenuse of the triangle measures 10 inch

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