Mathematics: In triangle abc, m∠c = 90°, c = 17, and a = 8, then which of the following is the measure of side b?

In triangle abc, m∠c = 90°, c = 17, and a = 8, then

Reese1394

14.03.2022

b=15

Step-by-step explanation:

We have been given that in triangle ABC, m∠C = 90°, c = 17, and a = 8. We are asked to find the measure of side b.

Since the measure of angle C is 90 degree, so our given triangle is a right triangle, where side c is the hypotenuse of triangle.

We will use Pythagoras theorem to solve for side b as:

c^2=a^2+b^2

17^2=8^2+b^2

289=64+b^2

64+b^2=289

64-64+b^2=289-64

b^2=225

Now, we will take square root of both sides of our equation.

$b=\pm\sqrt{225}$

$b=\pm 15$

Since length cannot be negative, therefore, the length of side b is 15.

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NeverEndingCycle

24.02.2022

george washington

Step-by-step explanation:

g e o r g e w a s h i n g t o n

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