A triangle has angles 100°, 40° and 40° and length of sides 10 cm ,10 cm and 18cm. Name the type of
triangle
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ᴛʜɪs ᴛʏᴘᴇ ᴏғ ᴛʀɪᴀɴɢʟᴇ ᴡʜᴇʀᴇ 2 sɪᴅᴇs ᴀɴᴅ ᴀɴɢʟᴇs ᴀʀᴇ ᴇϙᴜᴀʟ ᴀʀᴇ ᴄᴀʟʟᴇᴅ ɪsᴏsᴄʟᴇs ᴛʀɪᴀɴɢʟᴇ
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The answer is an
isosceles triangle
Given:
Angles of the triangle are 100°, 40°, 40°
length of the sides 10 cm, 10cm, 18cm.
To Find:
The type of triangle
Solution:
An Isosceles Triangle has the following properties:
- Two sides are congruent to each other.
- The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
- The two angles opposite to the equal sides are congruent to each other.
Hence,
The given angles and sides satisfy the properties of
isosceles triangle.
So,
The given triangle is Isosceles.
The answer is Isosceles triangle
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