Question

SOLVE AND SHOW WORK PLSSSS!! Find the length of the missing sides. Do not round (leave in simplified radical form).

Answer 1

Answer:

For the first triangle the missing sides are 7 and 7√2 For the second triangle,the missing sides are 13√3 and 13

Step-by-step explanation:

For the first triangle,

cos(45°)=7/hypotenuse

hypotenuse×cos45=7

hypotenuse×√2/2=7

hypotenuse=14/√2=7√2

We can now find the adjacent side using Pythagorean theorem,

√(7√2)²-7²=7

For the second triangle,

cos(30°)=adjacent/hypotenuse

but cos 30=√3/2

√3/2=adjacent/26(cross multiply and simplify)

26√3/2=13√3

To find the opposite length,

√(26)²-(13√3)²=13