Question

PLEASE HELP. BEST ANSWER GETS BRAINLIEST. Find x in the following right triangle

Answer 1

Answer:

12 dm

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing length of the right triangle:

$a^2+b^2=c^2$

We are given the hypotenuse's length of 13 dm, and a leg length of 5 dm.

Let the missing leg be 'b':

$5^2+b^2=13^2\\\left \{ {{5^2=25} \atop {13^2=169}} \right. \\25+b^2=169\\25-25+b^2=169-25 \leftarrow \text{Subtraction Property of Equality} \\b^2=144\\\sqrt{b^2}=\sqrt{144}\leftarrow\text {Square Root Property of Equality}\\ \boxed{b=12}$

The missing side length should be 12 dm.

Answer 2

Answer:

12 dm

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + x^2 = 13^2

25 + x^2 =169

Subtract 25 from each side

x^2 = 169-25

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = 12