Question 8
If in two right triangles, one of the acute angles of one triangle is equal to an acute of the other triangle. Can you say that two triangles will be similar? Why?

Open in App

Solution

True
Let two right angled triangles be $Δ A B C a n d Δ P Q R$

In which $∠ A = ∠ P = 90^{\circ}$
And $∠ B = ∠ Q = a c u t e a n g l e$
Then, by AAA similarity criterion, $Δ A B C \sim Δ P Q R$

Suggest Corrections

Similar questions

Q. When one acute angle of a triangle is equal to one acute angle of other triangle, and the triangles are right angles, do you think the triangles are similar?

A perpendicular drawn from the vertex of one of the acute angles of a right angled triangle divides the triangle into two triangles similar to each other.

Q. In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the other. Prove that the triangles are congruent.

In two right triangles, one side an acute angle of one are equal to the corresponding side and angle of the other. Prove that the triangles are congruent.

Q. Say true or false.

If in two triangles, two angles of one triangle are respectively equal to the two angles of the other triangle, then the two triangles are similar.

Join BYJU'S Learning Program

Explore more

AAA Similarity

Standard IX Mathematics

Join BYJU'S Learning Program

Question 8 If in two right triangles, one of the acute angles of one triangle is equal to an acute of the other triangle. Can you say that two triangles will be similar? Why?

True Let two right angled triangles be ΔABC and ΔPQR In which ∠A=∠P=90∘ And ∠B=∠Q=acute angle Then, by AAA similarity criterion, ΔABC∼ΔPQR

Question 8
If in two right triangles, one of the acute angles of one triangle is equal to an acute of the other triangle. Can you say that two triangles will be similar? Why?

True
Let two right angled triangles be $Δ A B C a n d Δ P Q R$

In which $∠ A = ∠ P = 90^{\circ}$
And $∠ B = ∠ Q = a c u t e a n g l e$
Then, by AAA similarity criterion, $Δ A B C \sim Δ P Q R$