the ratio of the measures of three angles in a triangle is 10:3:7 find the measure of the largest angle
1 answer:
Answer:
90°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the parts of the ratio 10 + 3 + 7 = 20
divide 180 by 20 to find the value of one part of the ratio
= 9° ← 1 part of the ratio
the largest angle is the one with 10 parts of the ratio, hence
10 parts = 10 × 9° = 90° ← largest angle
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Using relations in a right triangle, it is found that the length of AC is of 14 cm.
<h3>What are the relations in a right triangle?</h3>The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
Researching this problem on the internet, we have that:
- The opposite leg to angle A is of 48 cm.
- sin(A) = 0.96.
Hence the hypotenuse is found as follows:
sin(A) = 48/h
0.96 = 48/h
h = 48/0.96
h = 50 cm.
The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:
x = 14 cm.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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