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In this triangle side ac equals 2 side bc equals 3 and side ab equals 4 is triangle abc a right triangle?
No siree
Construct the triangle abc angle of b is75 degree bc is 7cm ac or ba is 13?
no
If side ac is 5 and bc is 6 what is the measure of ab?
Not enough information has been given to find the measure of the 3rd side of the triangle ABC but if it is in the form of an isosceles triangle then the 3rd side would work out as 6 units.
How can you identify a figure that has sides ab and ac of triangle abc when angle a equals angle c?
This is called an isoceles triangle. An isoceles triangles is when two angles equal.
Why is the long leg the square root of 3 times bigger then the short leg in a 30 60 90 triangle?
I guess you are asking of the two sides which are not the hypotenuse, why the longer is root 3 times the shorter. Consider a 30, 60, 90 triangle ABC with ∠A = 30o, ∠B = 90o and ∠C = 60o and so side AC is the hypotenuse and BC is the shortest side. Reflect the triangle ABC in side BC to create triangle ABE. ∠EAB will be 30o, ∠ABE 90o and ∠BEA 60o. Side AE = AC. ∠EAC = ∠EAB + ∠BAC = 30o + 30o = 60o So triangle ACE is an equilateral triangle and thus side EC = AC Since EC = AC and EB = BC, EC=EB + BC ⇒ AC = BC + BC ⇒ AC = 2BC Using Pythagoras on triangle ABC to find length AB gives: AB2 + BC2 = AC2 ⇒ AB2 + BC2 = (2BC)2 ⇒ AB2 = 4BC2 - BC2 ⇒ AB2 = 3BC2 ⇒ AB = √3BC ie the shortest side is root 3 times the other non-hypotenuse side.
