Question

which angles are similar?
https://media.glynlyon.com/g_geo_2013/5/group132.gif

a
b
c
d
more than one answer

Answer 1

*which TRIANGLES are similar

Answer 2

@ganeshie8

Answer 3

first notice that all triangles have an angle "25 degrees"

Answer 4

next, look at first triangle
whats the ratio of sides that are including the angle ?

Answer 5

12/6 = 2 right ?

Answer 6

a and d

Answer 7

b also

Answer 8

\(a\), \(b\), and \(d\) are similar
by SAS similarity

Answer 9

thanks. one more?

Answer 10

shoot

Answer 11

https://media.glynlyon.com/g_geo_2013/5/group133.gif

Which of the triangles are right triangles?

1
2
3
4

(they all look like right triangles, but is there a rule?)

Answer 12

pythagora !!

Answer 13

if its a right triangle, then : a^2 + b^2 = c^2

Answer 14

what is the basic equation so i can plug in the numbers?

Answer 15

a^2 + b^2 = c^2

Answer 16

sum of squares of legs = square of hypotenuse

Answer 17

look at first triangle,
we have legs = \(3,~ 5\)
hypotenuse = \(\sqrt{35}\)


check whether below is true :
\(3^2 + 5^2 = \sqrt{35}^2\)

Answer 18

if it is true, then its a right triangle.
if it is false, then its NOT a right triangle.

Answer 19

ok, one moment

Answer 20

false

Answer 21

so first one is not a right triangle,
go ahead and test second triangle

Answer 22

for second triangle,
legs = \(4, ~5\)
hypotenuse= \(\sqrt{41}\)

Answer 23

check whether below is true :
\(4^2 + 5^2 = \sqrt{41}^2\)

Answer 24

i did them all and triangle 2 is the only right angle

Answer 25

you're right too ;)

Answer 26

thanks, you make questions so easy to understand