An isosceles triangle has a height of 8 and base of 30. What are all three angles of this triangle?

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An isosceles triangle has a height of 8 and base of 30. What are all three angles of this triangle?

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Answer 1 · 2015-11-16T14:57:06

The three angles of triangle are $28.0725^o$ , $28.0725^o$ and $123.855^o$ .

Explanation:

An isosceles triangle is symmetric from the centre. If we cut it in half, we will have 2 identical right-triangles with perpendicular $=8$ and base $=15$

To calculate the identical angles opposite to height, we can use trigonometric identities:
$=tan^-1 ((perp)/(base))=tan^-1 ((8)/(15))=28.0725^o$

Third angle can be calculated by subtracting the measure of 2 identical angles from sum of all angles in a triangle i.e. $180^o$ :

$180^o-2(28.0725^o)=123.855^o$

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An isosceles triangle has a height of 8 and base of 30. What are all three angles of this triangle?

1 Answer

Explanation:

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