find the other two sides of right angle triangle if hypotenuse is 20 cm and the other two sides of triangle are equal.
Answers
Answered by
0
Answer: Mark me as brainliest
Step-by-step explanation:
Given hypotenuse, h=20cm
Ratio of other two sides, a:b=4:3
Let altitude of the triangle be 4x and base be 3x.
According to Pythagoras theorem,
h
2
=b
2
+a
2
20
2
=(3x)
2
+(4x)
2
400=9x
2
+16×2
25x
2
=400
x
2
=400/25
x
2
=16
Taking square root on both sides
x=4
so base, b=3x=3×4=12
altitude, a=4x=4×4=16
Hence the other sides are 12cm and 16cm
Similar questions