Yes, you have two congruent angles in each triangle, one right and one acute so the third angles must be equal also.
If you are classifying triangles by their angles, an obtuse triangle has one obtuse angle and two acute angles. A triangle can have at most one obtuse angle. If the two acute angles are congruent, the triangle would also be isosceles.
False. Assume that you had a two right triangles with one congruent acute (<90 degrees) angle in common. Let x represent the number of degrees in this angle in both triangles (which we can do since the angles are congruent). Let y represent the degree of the other angle in the first triangle and let z represent the degree of the other angle in the second triangle. We know that the sum of the degrees of the angles in a triangle is 180. So for the first triangle we have, 90+x+y = 180 For the second triangle, 90+x+z=180 Therefore, 90+x+y=90+x+z Subtract the 90+x from each side: y=z Therefore the degrees of the angles of the two triangles both are 90 [because they are both right triangles], x [because we said that this is the number of degrees of the congruent angles given in the problem], and y [because y=z]. Because the three angles of both triangles have the same measurement, the triangles must be similar.
yes a isosceles triangle has a right,obtuse and acute angle.
Only if they have the same angles
By Definition, a triangle with two Congruent Sides is an Isosceles Triangle. For ALL angles to be Acute, that is, LESS than 90o , the two opposite angles must be greater than 45o. Remember that the SUM of the angles in a Triangle must equal 180o.
yes there similar
true.
Sounds true to me, all three angles are congruent...
this is true
The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
Not every acute triangle has two congruent sides, although some do, in which case they are called isosceles triangles.
Not so. The two acute angles of a right triangle must add up to 90 degrees.So if the triangles have one congruent acute angle in common, they must alsohave the other acute angle in common, and then they're similar.
Similar in the number of sides but not congruent
The leg-angle congruence theorem says if one leg and an acute angle of one right triangle are congruent to one leg and an acute angle of another right triangle, then the two right triangles are congruent.
If the hypotenuse and an acute angle of a right triangle are congruent to the correspondingparts of another right triangle, then the triangles are congruent.
Classification of triangles according to sides: -Scalene Triangle - a triangle with no 2 congruent sides. -Isosceles Triangle - a triangle with at least 2 congruent sides. -Equilateral Triangle - a triangle with 3 congruent sides. Classification of triangles according to angles: -acute triangle - a triangle with 3 acute angles. -right triangle - a triangle with one right angle. -equiangular triangle - a triangle with 3 congruent angles. -obtuse triangle - a triangle with one obtuse angle.
Yes