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A right triangle has a hypotenuse of 43 cm and an angle of 56° opposite leg m. What is the length of leg m rounded to the nearest hundredth ?

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Answer:

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23

Step-by-step explanation:

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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