In the Isosceles triangle, the height is 7.41 and the two angles a and c are the same.
According to the statement
we have to find the height and the angles of the isosceles triangle.
So, For this purpose, we know that the
Isosceles triangle is a triangle in which two sides have the same length.
From given information:
Isosceles triangle has a base of 6 cm and the equal sides are each 8 cm long.
And
The formula for find the height of triangle is:
[tex]H = \sqrt{a^{2} - \frac{b^{2} }{4} }[/tex]
where a is the sides and the b is the base.
So, Substitute the values in it then
[tex]H = \sqrt{8^{2} - \frac{6^{2} }{4} }[/tex]
[tex]H = \sqrt{ 64 - \frac{36 }{4} }[/tex]
then after solving
[tex]H = \sqrt{ 64 -9 }[/tex]
[tex]H = \sqrt{55}[/tex].
And now angles of triangle are:
We know that the angles (two ) are of the same measurement of the triangle.
So, In the Isosceles triangle, the height is 7.41 and the two angles a and c are the same.
Learn more about Isosceles triangle here
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