Question

Find the length of the missing side. Leave your answer in simplest radical form.
The triangle is not drawn to scale.
A.) 25
B.) 144
C.) 5
D.) Square root of 5

Answer 1

Solve for hypotenuse

Hypotenuse = $\sqrt{a^{2}+b^{2}}$

Substitute 3 for A and 4 for B
$\sqrt{3^{2}+4^{2}}$

Solve exponents
3^2 = 9
4^2 = 16
$\sqrt{9+16}$

Add
9 + 16 = 25
$\sqrt{25}$

Solve square root
$\sqrt{25}$ = 5
5 is your answer

Answer 2

The length of the missing side (hypothenuse) is equal to 5

Data;

• Opposite = 3
• Adjacent = 4
• Hypothenuse = x

Pythagorean Theorem

This formula is used to find the missing side of a right angle triangle if two sides are given.

$x^2 = y^2 + z^2$

Let's substitute the values into the formula and solve for the hypothenuse

$x^2 = y^2 + z^2\\x^2 = 3^2 + 4^2\\x^2 = 9 + 16\\x^2 = 25\\x = \sqrt{25}\\ x = 5$

The length of the missing side (hypothenuse) is equal to 5

Learn more on pythagorean theorem here;

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