Answer:
The length of the unknown leg=8yd
Step-by-step explanation:
Hypotenuse^2=opposite^2-adjacent^2
Hyp^2=opp^2+adj^2
Hyp=√87yd
Opp=√23yd
Adj=?
Adj^2=Hyp^2-opp^2
=(√87)^2-(√23)^2
=87-23
=64
Adj^2=64
Adj=√64
=8yd
The length of the base is 8 units if the length of the hypotenuse is √87 yd and the length of the opposite side is √23 yd.
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle in which;
The length of the hypotenuse =√87 yd
The length of the opposite side = √23 yd
According to the Pythagoras theorem:
hypotenuse² = opposite² + base²
(√87)² = (√23)² + base²
base = √164
base = 8 units
Thus, the length of the base is 8 units if the length of the hypotenuse is √87 yd and the length of the opposite side is √23 yd.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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