Respuesta :
The length of leg m of the right angled triangle with the given hypotenus rounded to the nearest hundredth is 35.65cm.
What is a triangle?
A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.
A right angled triangle is a triangle with one of the angles as 90 degrees.
Using SOHCAHTOA.
From the image below;
SOH ⇒ Sineθ = Opposite / Hypotenuse
Given that;
- Angle θ = 56°
- Hypotenuse = 43cm
- Opposite = m
Sineθ = Opposite / Hypotenuse
Sine56° = m / 43cm
m = Sine56° × 43cm
m = 0.829037573 × 43cm
m = 35.65cm
Therefore, the length of leg m of the right angled triangle with the given hypotenus rounded to the nearest hundredth is 35.65cm.
Learn more about triangles here: brainly.com/question/19305981
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