Q12 of 153 Page 144

A is right angled at A. If AL BC, prove that =.

proof


We know that the sum of two acute angles of a right triangle is 90°.


Therefore,


+=90°


= 90°-


= 90°-____________________ (i)


+=90°


= 90°-____________________ (ii)


From equation (i) and (ii),


= Proved.


More from this chapter

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10

In a right-angled triangle, one of the acute measures 53°. Find the measure of each angle of the triangle.

 11

If one angle of a triangle is equal to the sum of the other two, show that the triangle is right angled.

 13

If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.

 14

If each angle of a triangle is greater than the sum of the other two, show that the triangle is obtuse angled.