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
