Question

If line XA is an altitude of triangle XYZ, find XA

Answer 1

2x - 72 = 90
2x = 90+72
2x = 162
x = 81

XA = x - 15
XA = 81 - 15
XA = 66

Answer 2

XA = 66 units.

Explanation:

Given : Triangle XYZ and line XA is an altitude

To find : find XA.

Solution : We have given that Triangle XYZ and line XA is an altitude.

We can see from the triangle

Angle XAY = angle XAZ.

90° = 2x -72 .

On adding sides by 72

90 + 72 = 2x .

162 = 2x .

On dividing by 2 both sides.

81 = x .

Now,

Altitude XA = x -15

XA = 81 - 15 .

XA = 66 .

Therefore, XA = 66 units.