Question

This is an Assertion(A) - Reason(R) type question, which has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct.

A: In the ΔABC , AB = 24 cm , BC = 10 cm and AC = 26 cm , then ΔABC is a right angle triangle.

R: If in two triangles, their corresponding angles are equal, then the triangles are similar.

• A. Both A and R are true and R is not the correct explanation of A
• B. Both A and R are true and R is the correct explanation of A
• C. A is true but R is false
• D. A is false and R is True

Answer 1

The correct option is A Both A and R are true and R is not the correct explanation of A

We have,
$=A{B}^2+B{C}^2$

$=(24{)}^2+(10{)}^2$

$=576+100$

$=676$

$={26}^2$

Therefore, $A{B}^2+B{C}^2=A{C}^2$

ABC is a right angled triangle.
Also, two triangle are similar if their corresponding angles are equal.

So, both A and R are correct but R does not explain A.