The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.
This means
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Answer:
Step-by-step explanation:
Label the triangle ABC as shown below.
Given:
AB = 8, BC = 15, AC = 17, m∠ABC = 90°, m∠ACB = 28°, m∠BAC = 62°
The tangent of a given angle is given as the ratio of the opposite side and the adjacent side. The opposite side is the side opposite to the angle. The adjacent side is the other leg of the right angled triangle.
Here, the opposite side to angle A is BC and adjacent side is AB.
Therefore, the tan ratio of angle A is given as:
Hence, tan 62 = 1.875.
Answer:
15
Step-by-step explanation:
Since, triangle ABC is the enlargement of triangle XYZ.
So, corresponding sides of both the triangles would be in proportion.