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# Is it possible to have a triangle with a right angle and no congruent sides?

Updated: 10/26/2022

Wiki User

10y ago

Yes providing the sum of its smaller sides is greater than its longest side which in this case will be the hypotenuse of a right angle triangle.

Wiki User

10y ago

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Q: Is it possible to have a triangle with a right angle and no congruent sides?
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### Why is SSA not a congruent shortcut?

SSA is ambiguous. If A is not a right angle, then there are two possible configurations for the triangle. So they need not be congruent.

### What does the hypotenuse-angle theorem say?

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.

Yes.

### A triangle containing 1 right angle and 2 congruent acute angles is called?

A triangle with 1 right angle and 2 congruent acute angles is both a right triangle and an isosceles triangle.

### What is a triangle with a right angle and two congruent sides?

A right isosceles triangle.

### What is a triangle with a right angle but no congruent sides?

That is simply called a right triangle.

### 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.

### 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.

### What is a Scalene right triangle?

A scalene right triangle is a triangle that has no congruent sides and and one right angle.

### What are right triangle congruence theorem?

1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent. 2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent. 3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent. 4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.

true.

### What triangle has one right angle and two congruent sides?

That's an isosceles right triangle.