1/8/2023 0 Comments Height of isosceles triangleLet's see some examples to understand it better.Įxample 1. ∠BAC and ∠ABC is known as interior opposite angles of ∠ACD Here, ∠ACD and ∠ACB are adjacent supplementary angles. Here, ∠ACD is known as exterior angle and ∠ACB is known as interior angle. In the above figure ABC is a triangle and its side BC is extended to D. Similarly, transversal AC intersect them at point E and C. Here, DE || BC and transversal AB intersect them at point B and D. In triangle ABC, we have ∠A = 30°, and ∠C = 40° ![]() In below given figure DE || BC, ∠A = 30°, and ∠C = 40°. Let's assume the other acute angle is p°.Īs we know, sum of all the angles of a triangle is 180°.Įxample 6. One of the acute angles of a right-angled triangle is 50°. Let's assume PQR is the triangle and ∠P, ∠Q, and ∠R it's angles.Īs it is a right-angled isosceles triangle, it's ∠P = ∠QĮxample 5. Determine the measures of all the angles. The sum of two angles of an isosceles triangle is equal to it's third angle. So, the angles of the triangles are 40°, 60° and 80°.Įxample 4. Let's assume all the three angles are 2x°, 3x°, and 4x°.Īs we know sum of all the angles are equal to 180° If the angles of a triangle are in the ratio 2 : 3 : 4, then find the three angles of the triangle. Find all the angles of right-angled isosceles triangle. Let's assume the third angle is 'x'.Įxample 2. Two angles are provided, they are 65° and 45°. As we know sum of all the angles of a triangle is 180°. If two angles of a triangle are 65° and 45°, then find the third angle. Let's see some examples to understand these properties.Įxample 1.
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