In an isosceles trapezoid the length of a diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezoid.

Question

bobpursley · Accepted Answer

you need the bases first.

draw the sketch. label the top base a, the bottom c.
now notice on c, it is longer than a by 2*k, where k is the length of the base below end triangles.

Pyth: (c-k)^2=25^2-15^2
or c-k=20cm
but c=a+2K

Now the median length:
median=(a+c)/2=(c-2k+c)/2
=2c-2k=2(c-k)=20cm

area=median*height=20cm*15cm
=300cm^2

check my math.

Mira · Answer

You are correct, the answer is 300cm^2

J · Answer

You are correct. Thank you.

Anonymous · Answer

Do you think you could attach a labeled diagram? That would be greatly helpful.

SmartNerd · Answer

I did this: Pythagreon: (c-k)^2=25^2-15^2 or c-k=20cm but c=a+2K Area area=median*height=20cm*15cm =300cm^2

Imcool · Answer

U GUYS ARE SEARCHING UP RUSSIAN MATH FINAL TEST QUESTIONS SHAME ON YOU

Imcool is not cool · Answer

Hey man I got to get that 100

Dead · Answer

You know he is right

Listen · Answer

Ok listen, I know some people literally look up answers without even trying and that’s wrong. But I do RSM, and try 2-3 times while checking my work. Mind you I only look up answers on homework’s NEVER in class when I have the teacher to literally help me. If I don’t understand it on my own I look it up to help me and explain it, if I understand it I write it down to help me. Lol thanks for reading ig. Also what grade y’all in?

WTH · Answer

Ok, but that was such a torturing long essay....I mean no one would type that much even for MCAS!! AND Imcool If u think u r soooo smart that u dont need to use this stuff then why did u search this question in the first place? and u say shame on us?!?

ALSO, this question is part of homework not a test.