The legs of a right /\ measure 3cm and 4cm. In another /\, one leg measures 4cm and the hypotenuse measures 5cm.
a. are the /\s congruent?
why? please explain
2007-09-05 13:34:08 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
i think theyre congruent but why?
2007-09-05 13:38:48 · update #1
Yes.
a^2 +b^2 = c^2 for every right triangle
3^2 + 4^2 = c^2
9 + 16 = c^2 = 25
c = 5
second triangle
a^2 + b^2 = c^2
a^2 + 4^2 = 5^2
a^2 + 16 = 25
a^2 = 9
a = 3
Both triangles are 3, 4, 5 right triangles.
2007-09-05 13:40:28 · answer #1 · answered by Steve A 7 · 1⤊ 0⤋
because there is on a right triangle A squared plus B squared =C squared(the hypotenuse)
so 3^2+4^2=25 so 25 = C squared and the Squared root of 25 is 5.
on the second triangle c=5 and b=4 so a has to =3 for it to be a right triangle
2007-09-05 20:44:30 · answer #2 · answered by raynor p 2 · 0⤊ 0⤋
1st triangle ... a^2 + b^2 = c^2 (3)^2 + (4)^2 = c^2
c = 5
when you can match (c to c) and (b to b) .... then a = a
congruent
[a^2 + b^2 = c^2] = (a^2 + b^2 = c^2)
2007-09-05 20:42:39 · answer #3 · answered by Brian D 5 · 0⤊ 0⤋