Find the missing side of the triangle
1 answer:
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Given:
The area model.
To find:
The area as a sum and area as a product.
Solution:
The four terms of the area model are .
The area as a sum is the sum of all the terms of given area model.
Area as a sum =
=
The area as a product is the factor form of sum of all the terms of given area model.
Area as a product =
=
=
Therefore, the area as a sum is and the area as a product is
.
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
Step 1:
The sum of all the angles in any triangle is equal to 180°.
We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.
So the angles of the triangle are
and
Step 2:
Now, we substitute all the angles to a sum of 180 to determine the value of x.
So x = 13°. The angles are
The angles of the triangle are 39°, 51°, and 90°.