Question

I have an isosceles triangle. the height drawn on the base is 2.5 cm and the height drawn on the side is 3 cm. help calculate the base angle of a triangle​

Answer 1

56.4 degrees

Explanation:

You can make a right-angle triangle from the isosceles triangle, with height 2.5cm and hypotenuse 3cm.

You have the opposite side to the angle and the hypotenuse, so you use sin x = Opposite/Hypotenuse

sin x = 2.5/3

x =
`sin^(-1)` (2.5/3)

x = 56.44269024

Therefore the base angle of the triangle is 56.4 degrees (3sf)