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A triangle A B C is right angled at A. ...

A triangle `A B C` is right angled at A. AL is drawn perpendicular to `B C` . Prove that `/_B A L=/_A C Bdot`

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To prove that ∠BAL = ∠ACB in triangle ABC, where A is the right angle and AL is drawn perpendicular to BC, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Angles in Triangle ABL**: In triangle ABL, we know that the sum of the angles is 180 degrees. Therefore, we can write: \[ \angle BAL + \angle ALB + \angle ABL = 180^\circ ...
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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. If PS is the bisector of /Q P R and P T|Q R . Show that /T P S=1/2(/Q...

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  2. Of all the line segments that can be drawn to a given line, from a ...

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  3. A triangle A B C is right angled at A. AL is drawn perpendicular to B...

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  4. The sum of any two sides of a triangle is greater than the third sid...

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  5. In Figure AB||DC , if x=(4y)/3 and y=(3z)/8, find /B C D ,/A B C and /...

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  6. A B is a line segment and line l is its perpendicular bisector. If ...

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  7. A B C is a triangle in which /A=72^0 , the internal bisectors of angle...

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  8. AB is a line-segment. P and Q are points on opposite sides of AB suc...

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  9. If one angle of a triangle is equal to the sum of the other two, sh...

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  10. Suppose line segments A B and C D intersect at O in such a way that A ...

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  11. Two angles of a triangle are equal and the third angle is greater th...

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  12. If D is the mid-point of the hypotenuse A C of a right triangle A B C ...

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  13. In triangle A B C ,/B=45^0,/C=55^0 and bisector of /A meets B C at ...

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  14. A B is a line segment, A X and B Y are two equal line segments drawn o...

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  15. In Figure, if AB||DE ,/B A C=35^0 and /C D E=53^0 , find /D C E.

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  16. l and m are two parallel lines intersected by another pair of parall...

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  17. (Exterior Angle Theorem): If a side of a triangle is produced, the e...

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  18. Two triangles are congruent if include two angles and the included s...

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  19. A ,B ,C are three angles of a triangle. If A-B=15^0,B-C=30^0, find /A...

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  20. In the figure, diagonal A C of a quadrilateral A B C D bisects the ang...

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