Question

The area of a right triangle is 50 cm^2
One of its angles is 45°. Find the lengths of the sides and hypotenuse of the triangle.

Answer 1

Answer:

10, 10,

$10 \sqrt{2}$

Answer 2

Step-by-step explanation:

area of triangle = 1/2 bh

b is base and h is height

when a right angle triangle has 45°as one of the angles then it is a isosceles triangle as the other angle is also 45°

and also base = height

so b=h

area = 1/2 h² =50

h²=100

h=10

b=10

hypotenuse ²= h²+b² = 10²+10² =2×10²=200

hypotenuse = 10×sqrt2