Question

Which tool would be best to solve this problem?

Pythagorean Theorem
Triangle Angle Sum Theorem
Tangent Ratio
Sine Ratio
Cosine Ratio
Use that tool to solve for x. Show all work on the sketch
pad or on your paper.

Answer 1

Pythagorean Theorem

Explanation:

You want to use Pythagorean Theorem on right degree triangles. Using the formula:

a^2 + b^2= c^2, where a and b are the legs while c is the hypontuse( the slanted side of the triangle and the longest.) let plug in the numbers.

8^2+ x^2=15^2; Subsitution

64+x^2=225: Equalvelent Equation

x^2= 161: Subtraction Poperty of Equality

sqr root of 161= 12.688 or 12.69 or 12.7

x=12.689 ( if rounded to nearest hundredth) or x=12.7 if rounded to nearest tenth.

`√(161)`

Answer 2

The pythagorean theorem would be the most helpful.

To solve this problem:

`x^2 + 8^2 = 15^2\\x^2 + 64 = 225\\x^2 = 161\\x = √(161)`