Is it right-angled
A triangle has sides of length 7 cm, 24 cm, and 25 cm.
Is this a right-angled triangle?
Word Problem
A bridge is built across a river. One quarter of the bridge is over the left bank of the river and one third of the bridge is over the right bank. The river is 120 m wide. How long is the bridge?
To check if a triangle is right-angled, we use Pythagoras' Theorem:
ReplyDeleteIf a² + b² = c², then the triangle is right-angled, where c is the longest side.
Here, the longest side is 25 cm, so we test:
a = 7,
b = 24,
c = 25
Now calculate:
7² + 24² = 49 + 576 = 625
25² = 625
Since 625 = 625, the triangle does satisfy Pythagoras’ Theorem.