Question

find the angels in a right angle isosceles triangle ​

Answer 1

Answer:

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Step-by-step explanation:

AN ISOSCELES RIGHT TRIANGLE is one of two special triangles. (The other is the 30°-60°-90° triangle.) The student should know the ratios of the sides.

(An isosceles triangle has two equal sides.  See Definition 8 in Some Theorems of Plane Geometry.  The theorems cited below will be found there.)

Theorem.  In an isosceles right triangle the sides are in the ratio 1:1:square root of 2.

An isosceles right triangle

Proof.  In an isosceles right triangle, the equal sides make the right angle. They have the ratio of equality, 1 : 1.

To find the ratio number of the hypotenuse h, we have, according to the Pythagorean theorem,

h2 = 12 + 12 = 2.

Therefore,

h = square root of 2.

(Lesson 26 of Algebra.)  Therefore the three sides are in the ratio

1 : 1 : square root of 2.

Note that since the right triangle is isosceles, then the angles at the base are equal. (Theorem 3.)  Therefore each of those acute angles is 45°.

(For the definition of measuring angles by "degrees,

Answer 2

Answer:

Right angle :90 degree

Isoceles triangle :<90 degree

Step-by-step explanation:

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