The value of the base in the given triangle is 22.96.
<h3>What is a triangle?</h3>
Three edges and three vertices make up the three sides of a triangle, which is a three-sided polygon in geometry. The fact that a triangle's internal angles can be added up to equal 180 degrees is its most significant characteristic. Triangle's angle sum property is what this characteristic is known as.
We have given to find m, we will use cosine rule
cos ∅ = base/hypotenuse
Here ∅ = 35°
Base = m
Hypotenuse = 28
lets substitute the values and we get,
⇒ cos 35° = m/28
⇒ m = cos 35° × 28
⇒ m = 0.82 × 28 ( cos 35° = 0.82)
⇒ m = 22.96
Thus, the value of the base in the given triangle is 22.96.
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