Properties of Triangles - Acute Angled Triangles | GMAT Sample Questions

[@sunilpatel3728]

Beautifully explained sir.

[@Wizako]

Thanks and welcome Sunil! Check out the other videos under this topic here: kzbin.info/aero/PL3JsYBL14ZltE4G-PB08-Cw5Z8EjS8gDL Best wishes!!

[@brightnoise7624]

But in a previous video you said in a GMAT DS question we never assume, yet you assumed a to be the longest side. Can you elaborate?

[@talktogauravbansal]

very good Q. ... mazaa aa gya !!! thanks

[@Wizako]

Yes indeed a very good question, Gaurav! Cheers!!

[@egoisticrayyan433]

sir there may be other triangles that can be legally formed with area of 140sq cm which may be right or obtuse triangles as well A triangle may satisfy the sides inequation of obtuse and right triangle and still have an area of 140. It has a MAY BE linked to it so 1st statement is straight-up not sufficient

[@Wizako]

Hi, Obtuse angle triangle condition: a^2 > b^2 + c^2 Right angle triangle condition: a^2 = b^2 + c^2 Statement 1 says: Sides a^2, b^2, c^2 form a triangle. If they form a triangle then a^2 < b^2 + c^2 should be true as sum of any two sides of a triangle are greater than the third side. Now, if you say that this triangle can be obtuse, then a^2 > b^2 + c^2 should be true. If this is true i.e., sum of any two sides is lesser than the third side , then this does not even form a triangle. If you say that this triangle can be right angled, then a^2 = b^2 + c^2 should be true. If this is true i.e., sum of any two sides is equal to the third side , then this also does not even form a triangle. Hope this clears it.

[@randomlyswatching9481]

First statement is about a,b,c and the triangle formed is by a2,b2,c2 so in proving that the squares of the sides can form a triangle we proved that the a,b,c triangle is acute

[@biswadeeproy4019]

In statement 1, you have considered a to be the longest side and then b^2 + c^2 is greater than a^2. But it has no where mentioned a is the longest side. So why are we assuming a to be longest side. Please explain.

[@Wizako]

It is a general rule that the square of a longer side will be lesser than the sum of squares of the other two sides. It comes from the pythagoras theorem. We have not assumed a to be the longest side of the given triangle. The rule has been explained in this way that IF 'a' is the longest side, then the sum of squares rule applies. The a here has been used just to explain a rule. Apologies for causing a confusion in there. Best wishes for your GMAT preparation!

[@harshwardhanbirajdar7392]

I had the same misunderstanding. But think about it this way: S1: Consider b^2 to be the longest side (assume for now): Then, b^2 < a^2 + c^2. If b^2 is the longest sides among a^2, b^2, and c^2, naturally b will be the longest sides among a, b, and c. Think about it. Hence, the above equation satisfies the condition of an acute-angled triangle, that is, l^2 < sum of squares of the other two sides.

[@debarshimukherjee8755]

Sir how does GMAT quant weigh up against CAT? I've got around 75%le in QA in CAT. How much would it help in GMAT? Kindly advise.

[@alindjohari3190]

GMAT quant is more logical, your basic math has to be strong

[@Wizako]

For GMAT quant, you have to be conceptually strong in every concept as you will be facing 50% of the questions from Data Sufficiency. GMAT quant is not very forgiving as a few wrong questions initially will make it impossible to cross Q45. You might have to refresh everything from ground up for the GMAT.