Answered

Connect with a community of experts and enthusiasts on IDNLearn.com. Get accurate and timely answers to your queries from our extensive network of experienced professionals.

One of the legs of a right triangle measures 13 cm and the other leg measures 1 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Sagot :

Djtwinx017idn

Answer:

hypotenuse = 13.0 cm

Step-by-step explanation:

Given the dimensions of a right triangle whose legs have measures of 13 cm and 1 cm, we can use the Pythagorean Theorem to find the measure of the triangle's hypotenuse.

The Pythagorean Theorem states that the squared measure of a right triangle's hypotenuse is equal to the sum of the squared lengths of its legs. In other words:

Pythagorean Theorem:   c² = a² + b²

Let c = hypotenuse

     a  =  Leg₁   = 1 cm

    b  =  Leg₂  =  13 cm

Substitute these values into the given formula to find the measure of the hypotenuse, c:

c² = a² + b²

c² = ( 1 )² + (13)²

c² = 1 + 169

c² = 170

Next, take the square root of c² and 170 to isolate c:

[tex]\displaystyle\mathsf{\sqrt{c^2}\:=\:\sqrt{170}}[/tex]

c = 13.04 or 13.0 cm

Therefore, the length of the hypotenuse is 13.0 cm.

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.