The ratio of the measures of the angle of a triangle are 1:3:5. The measures of the largest degrees is? I need this like as soon as possible
they sum to 180, so if the smallest is x, then
x+3x+5x = 180
Find x, and the largest is 5x
To find the measures of the angles in a triangle when given the ratio of their measures, you need to follow these steps:
Step 1: Identify the ratio given for the angle measures. In this case, the ratio is 1:3:5.
Step 2: Add up the parts of the ratio to find the total number of parts. In this case, the total number of parts is 1 + 3 + 5 = 9.
Step 3: Multiply each part of the ratio by the size of one part. Since the sum of the angles in a triangle is always 180 degrees, divide 180 by the total number of parts (9) to find the size of one part: 180 / 9 = 20.
Step 4: Multiply the size of one part by each respective part of the ratio to find the measure of each angle. In this case, you would have:
- The measure of the smallest angle = 20 (1 part) = 20 degrees.
- The measure of the middle angle = 20 (3 parts) = 60 degrees.
- The measure of the largest angle = 20 (5 parts) = 100 degrees.
Therefore, the measure of the largest angle in the given triangle is 100 degrees.