If A - An isosceles - le is right angled if l- -2b R - - A - - B - 45- and - C - 90- then which of the following statement is true-

The correct option is A A is true and R is the correct explanation of A ∴ If ∠ A = ∠ B = 45^∘ and ∠ C = 90^∘, Δ ABC #160;is isosceles as well ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Congruent Triangles

If A : An iso...

Question

If A : An isosceles $Δ$ le is right angled if l= $\sqrt{2}$ b
$R : ∠ A = ∠ B = 45^{\circ} a n d ∠ C = 90^{\circ}$ then which of the following statement is true?

A is true and R is the correct explanation of A

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

A is true and R is not the correct explanation of A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A is false

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A A is true and R is the correct explanation of A
$∴$ If $∠ A = ∠ B = 45^{\circ} a n d ∠ C = 90^{\circ}, Δ A B C$ is isosceles as well as right angled.

Suggest Corrections

Similar questions

Q. Assertion (A)
In an isosceles ∆ABC, if ∠C = 90°, then AB² = 3AC².
Reason (R)
In an isosceles ∆ABC, if AC = BC and AB² = 2AC², then ∠C = 90°.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A)
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

Assertion: If $x \neq y$ , then $(x, y) \neq (y, x)$
Reason: If x=y, then $(x, y) \neq (y, x)$
Which of the following is correct?

Q. Assertion (A) : Alkene A

(M e_{2} C = C M e_{2})

is more stable than alkene

(E t_{2} C = C E t_{2})

.
Reason (R) : Baker-Nathan effect.

Assertion (A): In the given figure, If O is the centre of the circle and AC is the diameter with $∠ A P B = 120^{\circ}$ , then $∠ B Q C = 150^{\circ}$ .

Reason (R): In a cyclic quadrilateral, the sum of opposite angles is $180^{\circ}$ .
Which of the following is true?

Q. Assertion (A) In the given figure, If O is the centre of the circle and AC is the diameter with

∠ A P B = 120^{\circ}

, then

∠ B Q C = 150^{\circ}

Reason (R) In a cyclic quadrilateral, the sum of opposite angles is

180^{\circ}

.
which of the following is true?

Join BYJU'S Learning Program

If A : An isosceles Δ le is right angled if l=√2bR:∠A=∠B=45∘and∠C=90∘ then which of the following statement is true?

The correct option is A A is true and R is the correct explanation of A∴ If ∠A=∠B=45∘and∠C=90∘,ΔABC is isosceles as well as right angled.

If A : An isosceles $Δ$ le is right angled if l= $\sqrt{2}$ b
$R : ∠ A = ∠ B = 45^{\circ} a n d ∠ C = 90^{\circ}$ then which of the following statement is true?

The correct option is A A is true and R is the correct explanation of A
$∴$ If $∠ A = ∠ B = 45^{\circ} a n d ∠ C = 90^{\circ}, Δ A B C$ is isosceles as well as right angled.