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vitfil [10]
3 years ago
9

Use the side-splitter theorem to solve for x in the triangle below. 21 42

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0

x = 8

Solution:

Side-splitter theorem:

<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>

$\Rightarrow\frac{4}{21} =\frac{x}{42}

Do cross multiplication, we get

⇒ 4 × 42 = 21x

Divide by 21 on both sides, we get

⇒ 4 × 2 = x

⇒ 8 = x

Switch the sides.

⇒ x = 8

The value of x is 8.

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Since the denominator is multiplied by 2, the numerator also has to be multiplied by 2:

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