est form 3a continued 8 what is true about the sum of the measures of any two non right angles i

Name: est form 3a continued 8 what is true about the sum of the measures of any two non right angles in a right triangle 8 9 what is the perimeter of the triangle 89765
Uploaded: 2021-06-03T09:48:54-08:00
Duration: 8 min 27 s
Channel: Anas Venkitta
Description: est form 3a continued 8 what is true about the sum of the measures of any two non right angles in a right triangle 8 9 what is the perimeter of the triangle 89765

Step 1: In a right triangle, one angle is a right angle, which measures 90 degrees.

Est form 3a continued 8 what is true about the sum of the...

Transcript

00:01 So in the given question we have a triangle in which we have to find the length of a missing side, right? the missing, the length of a side.

00:13 So the triangle is given like this and the sides have a length of 9 and one side has a length of 18.

00:27 This side which is this line that is from the corner to this side has a length of 8 and we are told that this line is bisecting the angle at this vortex right which means this line is an angle bisector right and let's assume that the this angle bisector divides the side of the triangle in the ratio n and n right and if this is the case what we should know first is that according to the angle bisector theorem there is a theorem called the angle bisector theorem which says if a line bisects one of the one of the angles of a triangle and it intersects a side of the triangle then we can write that the triangle, the sides of the triangle can be written in a ratio such that it would be 9 divided by m equal to 18 divided by n which means if there is a triangle there is an angle over here and the angle bisector cuts the side like this and if this side is a length of m this side is a length of n and the other two sides of the triangle have the length a and b then according to the angle by sector theorem we can take the ratio a by m is equal to b by n so this is what we did over here right so this is the angle by sector theorem so then we have written this the angle by sector theorem according to our figure so what we do next is to write simplify this equation right so on simplifying this equation we can write 9x n is equal to 18 times m from which we can write n is equal to 18 divided by 9 times m which is 2 times m so n is equal to 2 times m this is what we get by using the angle bisector theorem right so let's write 2m instead of n right so this has a line of 2m and now that we have done that the next step is to use the steward's theorem right so in the stewards theorem we are dealing with a triangle which is similar to the figure which is given over here and if the if a triangle with sides a b and c in which a line from the corner divides the side in the ratio m and n that is c is divided into m and n length right and if that's the case according to the steward theorem and it is given that the length of this line is d we would have a relation according to steward's theorem that says a square times n plus b square times m is equal to c times d square plus c times m times n so this is what this t words theorem says right so this is what this t words theorem says and this is what we are going to use over here so let's compare the two figures right and we can find that over here a can be taken as 9n b can be taken as 18 d can be taken as 8 m can be taken as m itself n can be taken as 2 times m and c is m plus n which would be m plus 2m over here this m plus n so over here it would be m plus 2m which is equal to 3m right so let's substitute these values according to the relation over here.

05:04 So we would have 9 square times 2m plus 18 square times m is equal to 3m times 8 square plus c which is 3m times m times n which is 2m.

05:34 So this is the relation...

Question

est, Form 3A (continued ) 8. What is true about the sum of the measures of any two. non-right angles in a right triangle? 8. 9. What is the perimeter of the triangle?

Question

est, Form 3A (continued ) 8. What is true about the sum of the measures of any two. non-right angles in a right triangle? 8. 9. What is the perimeter of the triangle?

Please give Ace some feedback