Question

find the following measurements of the triangle shown. base = units height = units

Explanation:

Step1: Identify the base

The base of a triangle is one of its sides. In the given triangle, the side with length \( 40 \) units is the base.

Step2: Use Heron's formula to find the height (alternative approach, but since it's an isosceles - like triangle with two sides \( 50 \) units. Let's split the base into two equal parts.

If the base \( b = 40 \) units, then half - base \( x=\frac{40}{2}=20 \) units. Using the Pythagorean theorem \( h=\sqrt{50^{2}-20^{2}} \).

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Answer:

Base \( = 40 \) units, height \( \approx45.83 \) units