baderalotaishan
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

The measures of the angles of Triangular garden are in the ratio 2:5:5. What are the measures of the angles? Classify the triangle based on its sides

Sagot :

facundo3141592

Answer:

We know that the sum of all the interior angles of a triangle is always equal to 180°.

And we know that the angles are in a ratio of:

2:5:5

So if we have an angle (unknown) θ, the angles of this triangle will be written as:

2*θ

5*θ

5*θ

Now remember that the sum of the 3 angles is equal to 180°, this leads to:

2*θ + 5*θ + 5*θ = 180°

Now we can solve this for θ

(2 + 5 + 5)*θ = 180°

12*θ = 180°

θ = 180°/12 = 15°

This means that the angles of this triangle are:

2*θ = 2*15° = 30°

5*θ = 5*15° = 75°

5*θ = 5*15° = 75°

Now we want to classify this triangle based on this, we have two equal angles, which implies that we must have two equal sides and another different side.

Then this is an isosceles triangle.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.