ABC is a right angled triangle in which angle A -90- - If AB - AC- Find angle B and angle C-

Since one angle is 90 degree, sum of other two angles will be 90 degree. Since, AB=AC ⇒ angles opposite to equal sides are equal. ⇒ angle B = angle C So, both a ...

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Standard IX

Mathematics

Properties of Isosceles Triangle

ABC is a righ...

Question

ABC is a right angled triangle in which angle $A = 90^{\circ}$ . If AB=AC. Find angle B and angle C.

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Solution

Since one angle is 90 degree, sum of other two angles will be 90 degree.
Since, AB=AC
$\Rightarrow$ angles opposite to equal sides are equal.
$\Rightarrow$ angle B = angle C
So, both angles are 45 degrees each, which sum up to 90 degree.

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ABC is a right angled triangle in which angle A=90∘. If AB=AC. Find angle B and angle C.

Since one angle is 90 degree, sum of other two angles will be 90 degree. Since, AB=AC ⇒ angles opposite to equal sides are equal. ⇒ angle B = angle C So, both angles are 45 degrees each, which sum up to 90 degree.

ABC is a right angled triangle in which angle $A = 90^{\circ}$ . If AB=AC. Find angle B and angle C.

Since one angle is 90 degree, sum of other two angles will be 90 degree.
Since, AB=AC
$\Rightarrow$ angles opposite to equal sides are equal.
$\Rightarrow$ angle B = angle C
So, both angles are 45 degrees each, which sum up to 90 degree.