Find the value of x in the triangle shown below. This question is Find angles in isosceles triangles.
1 answer:
Answer:
x = 56
Step-by-step explanation:
Since two sides of the triangle have the same length, we knows it's isosceles. This means we we will have two base angles with the same value. Since x is the angle in between both legs, we knows x is the vertex angle.
62 is a base angle, which means the other base will be 62 as well. And since the angles of a triangle always add up to 180,
x = 180 - (62 + 62)
x = 180 - 124
x = 56
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By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.
<h3>How to find the missing side?</h3>By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:
z² = x² + y²
Also, the sides of this right-angled triangle are:
- Hypotenuse = 14 inches.
- Opposite side = x inches.
- Adjacent side = 7 inches.
Substituting the given parameters into the formula, we have;
14² = x² + 7²
196 = x² + 49
x² = 196 - 49
x² = 147
x = √147
x = √49 × √3
x = 7√3 inches.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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