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True or false Two right triangles that are not similar still may have one congruent acute angle in common?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
Anonymous
false
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Are two right triangles similar if an acute angle of one triangle is congruent to an acute angle of the other triangle?
Yes, you have two congruent angles in each triangle, one right and one acute so the third angles must be equal also.
Is all acute triangles similar?
Only if they have the same angles
Name four different types of triangles?
Types of Triangles: By Sides: Isosceles- 2 congruent sides Scalene- no congruent sides Equilateral- 3 congruent sides By Angles: Acute- angles measuring less than 90° Obtuse- one angle measuring more than 90° Right- one angle measuring exactly 90° Equiangular- all angles measuring exactly the same- same as equilateral triangle
Which triangle has two acute angles and one obtuse angle?
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.
Are Isosceles triangles right obtuse and acute?
yes a isosceles triangle has a right,obtuse and acute angle.
Two right triangles that are not similar still may have one congruent acute angle in common?
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.
Are acute-angled triangles similar?
Similar in the number of sides but not congruent
Can two right triangles that are not similar still have one congruent acute angle in common?
No, it’s false.
Two right triangles are similar if the acute angles of one triangle are congruent to the acute angles of the other triangle?
yes there similar
If an acute angle of one right triangle is congruent to an angle of a second triangle then are the triangles similar?
true.
'True or false Two right triangles are similar if an acute angle of one triangle is congruent to an acute angle of the other triangle'?
Sounds true to me, all three angles are congruent...
When two right triangles are similar if an acute angle of one triangle is congruent to an acute angle of the other triangle?
this is true
Are two right triangles similar if an acute angle of one triangle is congruent to an acute angle of the other triangle?
Yes, you have two congruent angles in each triangle, one right and one acute so the third angles must be equal also.
What are the four congruence theorems for a right triangle?
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.
The LAtheorem says that two right triangles will be congruent if they have a congruent and a congruent leg?
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.
Are acute triangles similar?
Not necessarily. Just because two triangles are both acute doesn't make them similar. They could be similar, but not necessarily.
Does an acute triangle have two congruent sides?
Not every acute triangle has two congruent sides, although some do, in which case they are called isosceles triangles.
