which of the following triangle has its altitude exterior region of it ?
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Answers
Answer:
The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle. It may lie inside or outside the triangle, based on the types of triangles. The altitude of a triangle basically defines the height, when we have to measure the area of a triangle, with respect to the base.The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side. Also, known as the height of the triangle, the altitude makes a right-angle triangle with the base. Below is an image that shows a triangle’s altitude.
Step-by-step explanation:
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Given : Triangles
1️⃣ Right angle triangle
2️⃣ Equilateral triangle
3️⃣ Scalene triangle
4️⃣ Acute angled triangle
https://brainly.in/question/48129463 for complete Question
To Find : Which of these triangles has its altitude in exterior region of it
Solution:
Altitudes are perpendicular drawn from the vertex on the opposite side of triangle
Obtuse angled triangle which has one angle greater than right angle has altitude in exterior region of it
1️⃣ Right angle triangle : ( one angle is right angles)
Has two altitudes on intersection of perpendicular legs intersection and one on the hypotenuse
2️⃣ Equilateral triangle ( all angles and side are equal )
Has all altitude at mid point of opposite sides
3️⃣ Scalene triangle All sides and angles are of unequal measures
Scalene triangle can be right angle , acute angled or obtuse angles triangle
So Scalene triangle which are obtuse have its altitude in exterior region of it
Hence Scalene triangle can have its altitude in exterior region of it but not all the scalene triangles
4️⃣ Acute angled triangle - has all angles less than right angles
Altitudes are inside the triangle
Obtuse angled triangle has altitude in exterior region of it
But From the given options Scalene triangle can be the answer as only scalene triangle can be obtuse triangle in the given option.
Option 3 is correct.
Note : All Scalene triangle Does not have altitude in the exterior region.
Also note that all obtuse angled triangle are not scalene they can be isosceles also.
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