89.6k views
2 votes
Find the value of w

Leave answer in surd form

Find the value of w Leave answer in surd form-example-1
User Judee
by
5.0k points

2 Answers

4 votes

Answer:

w =
√(73)

Explanation:

Applying 3 applications of Pythagoras' identity on the 3 right triangles from left to right.

Left right triangle ( finding vertical side v ), then

v² + 7² = 9²

v² + 49 = 81 ( subtract 49 from both sides )

v² = 32 ( take the square root of both sides )

v =
√(32) = 4
√(2)

------------------------------------------------------------------------

Middle right triangle ( finding hypotenuse h ), then

h² = 5² + v² = 5² + (4
√(2) )² = 25 + 32 = 57 ( square root of both sides )

h =
√(57)

-------------------------------------------------------------------------

Right side right triangle ( finding hypotenuse w ), then

w² = 4² + h² = 4² + (
√(57) )² = 16 + 57 = 73 ( square root of both sides )

w =
√(73)

User Owlvark
by
4.3k points
5 votes

Answer:

im dont know :c btw the most best burger

ever made was sooo good.

ingredients

flys:

bugs:

roaches:

spiders:

and lastly, some beetle blood suace with some green grass hoppers that died 30 years ago itss soooo good.

Explanation:

User YFl
by
4.5k points