Question

Please help me solve this quickly!

Answer 1

33.8

Explanation:

45-45-90 degree triangle rules states that the sides that are opposite the angles measure 45 degrees have the same value. That means that BD has the same value as AD, which is 7. Since triangle BDC is also a 45-45-90 degree triangle, DC is equal to BD, which is 7. We have the value of AC, which is 7+7=14. Now, we can use the Pythagorean theorem to figure out BC and AB. We know that
`DC^2+BD^2=BC^2`. We know that DC and BD is equal to 7, so we can simplify that to
`49+49=BC^2`, and we can further simplify that to
`BC=√(98)`. This is also equal to
`7√(2)`. Since BC is also equal to AB because of 45-45-90 degree triangle rules, we have the perimeter of the triangle as

`7√(2) + 7√(2)+14`, which is equal to
`14√(2) + 14`. We can simplify 14 times the square root of 2 as 19.8 (rounded to 2 decimal places). We have the answer as 19.8 + 14, which is 33.8.

Answer 2

33.80

Explanation:

AB = BC = AD√2

AB = BC = 7√2

AD = DC

AC = 2AD

perimeter = AC + AB + BC

= 2AD + 2AB

= 2(7) + 2(7√2)

= 14 + 14√2

≈ 33.80